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Finding the Fourth Proportional to 34,732.01, 52,098 and 8,436.57

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Solution

The fourth proportional to 34,732.01, 52,098 and 8,436.57 is: 12,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,732.01 : 52,098 = 8,436.57 : x
  2. Step 2: Convert to fraction form
    34,732.01/52,098 = 8,436.57/x
  3. Step 3: Cross multiply
    34,732.01x = 52,098 × 8,436.57
  4. Step 4: Simplify right side
    34,732.01x = 439,528,423.86
  5. Step 5: Solve for x
    x = 439,528,423.86/34,732.01
  6. Step 6: Final answer
    x = 12,654.85

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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.