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Finding the Fourth Proportional to 30,476.60, 45,715.02 and 10,744.44

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Solution

The fourth proportional to 30,476.60, 45,715.02 and 10,744.44 is: 16,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.60 : 45,715.02 = 10,744.44 : x
  2. Step 2: Convert to fraction form
    30,476.60/45,715.02 = 10,744.44/x
  3. Step 3: Cross multiply
    30,476.60x = 45,715.02 × 10,744.44
  4. Step 4: Simplify right side
    30,476.60x = 491,182,289.49
  5. Step 5: Solve for x
    x = 491,182,289.49/30,476.60
  6. Step 6: Final answer
    x = 16,116.70

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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.