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Finding the Fourth Proportional to 34,697.40, 52,049.16 and 9,737.70

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Solution

The fourth proportional to 34,697.40, 52,049.16 and 9,737.70 is: 14,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.40 : 52,049.16 = 9,737.70 : x
  2. Step 2: Convert to fraction form
    34,697.40/52,049.16 = 9,737.70/x
  3. Step 3: Cross multiply
    34,697.40x = 52,049.16 × 9,737.70
  4. Step 4: Simplify right side
    34,697.40x = 506,839,105.33
  5. Step 5: Solve for x
    x = 506,839,105.33/34,697.40
  6. Step 6: Final answer
    x = 14,607.41

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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.