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Finding the Fourth Proportional to 31,553.95, 47,329.55 and 7,861.60

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Solution

The fourth proportional to 31,553.95, 47,329.55 and 7,861.60 is: 11,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.95 : 47,329.55 = 7,861.60 : x
  2. Step 2: Convert to fraction form
    31,553.95/47,329.55 = 7,861.60/x
  3. Step 3: Cross multiply
    31,553.95x = 47,329.55 × 7,861.60
  4. Step 4: Simplify right side
    31,553.95x = 372,085,714.32
  5. Step 5: Solve for x
    x = 372,085,714.32/31,553.95
  6. Step 6: Final answer
    x = 11,792.05

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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.