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Finding the Fourth Proportional to 34,737.24, 52,105.14 and 8,442.12

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Solution

The fourth proportional to 34,737.24, 52,105.14 and 8,442.12 is: 12,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.24 : 52,105.14 = 8,442.12 : x
  2. Step 2: Convert to fraction form
    34,737.24/52,105.14 = 8,442.12/x
  3. Step 3: Cross multiply
    34,737.24x = 52,105.14 × 8,442.12
  4. Step 4: Simplify right side
    34,737.24x = 439,877,844.50
  5. Step 5: Solve for x
    x = 439,877,844.50/34,737.24
  6. Step 6: Final answer
    x = 12,663.01

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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.