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Finding the Fourth Proportional to 30,505.84, 45,711.36 and 14,693.84

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Solution

The fourth proportional to 30,505.84, 45,711.36 and 14,693.84 is: 22,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.84 : 45,711.36 = 14,693.84 : x
  2. Step 2: Convert to fraction form
    30,505.84/45,711.36 = 14,693.84/x
  3. Step 3: Cross multiply
    30,505.84x = 45,711.36 × 14,693.84
  4. Step 4: Simplify right side
    30,505.84x = 671,675,410.02
  5. Step 5: Solve for x
    x = 671,675,410.02/30,505.84
  6. Step 6: Final answer
    x = 22,017.93

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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.