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Finding the Fourth Proportional to 29,777.52, 44,666.28 and 13,350

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Solution

The fourth proportional to 29,777.52, 44,666.28 and 13,350 is: 20,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.52 : 44,666.28 = 13,350 : x
  2. Step 2: Convert to fraction form
    29,777.52/44,666.28 = 13,350/x
  3. Step 3: Cross multiply
    29,777.52x = 44,666.28 × 13,350
  4. Step 4: Simplify right side
    29,777.52x = 596,294,838
  5. Step 5: Solve for x
    x = 596,294,838/29,777.52
  6. Step 6: Final answer
    x = 20,025

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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.