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Finding the Fourth Proportional to 59,430, 89,033.76 and 29,813.16

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Solution

The fourth proportional to 59,430, 89,033.76 and 29,813.16 is: 44,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,430 : 89,033.76 = 29,813.16 : x
  2. Step 2: Convert to fraction form
    59,430/89,033.76 = 29,813.16/x
  3. Step 3: Cross multiply
    59,430x = 89,033.76 × 29,813.16
  4. Step 4: Simplify right side
    59,430x = 2,654,377,732.28
  5. Step 5: Solve for x
    x = 2,654,377,732.28/59,430
  6. Step 6: Final answer
    x = 44,663.94

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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.