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Finding the Fourth Proportional to 34,691.79, 52,041.20 and 9,731.91

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Solution

The fourth proportional to 34,691.79, 52,041.20 and 9,731.91 is: 14,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.79 : 52,041.20 = 9,731.91 : x
  2. Step 2: Convert to fraction form
    34,691.79/52,041.20 = 9,731.91/x
  3. Step 3: Cross multiply
    34,691.79x = 52,041.20 × 9,731.91
  4. Step 4: Simplify right side
    34,691.79x = 506,460,226.03
  5. Step 5: Solve for x
    x = 506,460,226.03/34,691.79
  6. Step 6: Final answer
    x = 14,598.85

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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.