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Finding the Fourth Proportional to 78,494.43, 117,708.84 and 31,714.50

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Solution

The fourth proportional to 78,494.43, 117,708.84 and 31,714.50 is: 47,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.43 : 117,708.84 = 31,714.50 : x
  2. Step 2: Convert to fraction form
    78,494.43/117,708.84 = 31,714.50/x
  3. Step 3: Cross multiply
    78,494.43x = 117,708.84 × 31,714.50
  4. Step 4: Simplify right side
    78,494.43x = 3,733,077,006.18
  5. Step 5: Solve for x
    x = 3,733,077,006.18/78,494.43
  6. Step 6: Final answer
    x = 47,558.50

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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.