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Finding the Fourth Proportional to 29,689.83, 40,972.02 and 16,078.02

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Solution

The fourth proportional to 29,689.83, 40,972.02 and 16,078.02 is: 22,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.83 : 40,972.02 = 16,078.02 : x
  2. Step 2: Convert to fraction form
    29,689.83/40,972.02 = 16,078.02/x
  3. Step 3: Cross multiply
    29,689.83x = 40,972.02 × 16,078.02
  4. Step 4: Simplify right side
    29,689.83x = 658,748,957.00
  5. Step 5: Solve for x
    x = 658,748,957.00/29,689.83
  6. Step 6: Final answer
    x = 22,187.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.