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Finding the Fourth Proportional to 71,314.40, 98,416.14 and 41,097.32

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Solution

The fourth proportional to 71,314.40, 98,416.14 and 41,097.32 is: 56,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.40 : 98,416.14 = 41,097.32 : x
  2. Step 2: Convert to fraction form
    71,314.40/98,416.14 = 41,097.32/x
  3. Step 3: Cross multiply
    71,314.40x = 98,416.14 × 41,097.32
  4. Step 4: Simplify right side
    71,314.40x = 4,044,639,598.74
  5. Step 5: Solve for x
    x = 4,044,639,598.74/71,314.40
  6. Step 6: Final answer
    x = 56,715.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.