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Finding the Fourth Proportional to 31,656.40, 47,460.60 and 16,085.20

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Solution

The fourth proportional to 31,656.40, 47,460.60 and 16,085.20 is: 24,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.40 : 47,460.60 = 16,085.20 : x
  2. Step 2: Convert to fraction form
    31,656.40/47,460.60 = 16,085.20/x
  3. Step 3: Cross multiply
    31,656.40x = 47,460.60 × 16,085.20
  4. Step 4: Simplify right side
    31,656.40x = 763,413,243.12
  5. Step 5: Solve for x
    x = 763,413,243.12/31,656.40
  6. Step 6: Final answer
    x = 24,115.61

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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.