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Finding the Fourth Proportional to 78,497.43, 117,713.34 and 31,717.50

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Solution

The fourth proportional to 78,497.43, 117,713.34 and 31,717.50 is: 47,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.43 : 117,713.34 = 31,717.50 : x
  2. Step 2: Convert to fraction form
    78,497.43/117,713.34 = 31,717.50/x
  3. Step 3: Cross multiply
    78,497.43x = 117,713.34 × 31,717.50
  4. Step 4: Simplify right side
    78,497.43x = 3,733,572,861.45
  5. Step 5: Solve for x
    x = 3,733,572,861.45/78,497.43
  6. Step 6: Final answer
    x = 47,562.99

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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.