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Finding the Fourth Proportional to 30,643,280.96, 45,978,459.65 and 16,066,715.46

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Solution

The fourth proportional to 30,643,280.96, 45,978,459.65 and 16,066,715.46 is: 24,107,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643,280.96 : 45,978,459.65 = 16,066,715.46 : x
  2. Step 2: Convert to fraction form
    30,643,280.96/45,978,459.65 = 16,066,715.46/x
  3. Step 3: Cross multiply
    30,643,280.96x = 45,978,459.65 × 16,066,715.46
  4. Step 4: Simplify right side
    30,643,280.96x = 738,722,828,642,142.62
  5. Step 5: Solve for x
    x = 738,722,828,642,142.62/30,643,280.96
  6. Step 6: Final answer
    x = 24,107,171.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.