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Finding the Fourth Proportional to 34,697.61, 52,046.55 and 8,402.38

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Solution

The fourth proportional to 34,697.61, 52,046.55 and 8,402.38 is: 12,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.61 : 52,046.55 = 8,402.38 : x
  2. Step 2: Convert to fraction form
    34,697.61/52,046.55 = 8,402.38/x
  3. Step 3: Cross multiply
    34,697.61x = 52,046.55 × 8,402.38
  4. Step 4: Simplify right side
    34,697.61x = 437,314,760.67
  5. Step 5: Solve for x
    x = 437,314,760.67/34,697.61
  6. Step 6: Final answer
    x = 12,603.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.