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Finding the Fourth Proportional to 34,737.29, 52,105.80 and 8,442.11

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Solution

The fourth proportional to 34,737.29, 52,105.80 and 8,442.11 is: 12,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.29 : 52,105.80 = 8,442.11 : x
  2. Step 2: Convert to fraction form
    34,737.29/52,105.80 = 8,442.11/x
  3. Step 3: Cross multiply
    34,737.29x = 52,105.80 × 8,442.11
  4. Step 4: Simplify right side
    34,737.29x = 439,882,895.24
  5. Step 5: Solve for x
    x = 439,882,895.24/34,737.29
  6. Step 6: Final answer
    x = 12,663.13

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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.