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Finding the Fourth Proportional to 78,566.76, 117,748.08 and 31,794.12

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Solution

The fourth proportional to 78,566.76, 117,748.08 and 31,794.12 is: 47,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,566.76 : 117,748.08 = 31,794.12 : x
  2. Step 2: Convert to fraction form
    78,566.76/117,748.08 = 31,794.12/x
  3. Step 3: Cross multiply
    78,566.76x = 117,748.08 × 31,794.12
  4. Step 4: Simplify right side
    78,566.76x = 3,743,696,585.29
  5. Step 5: Solve for x
    x = 3,743,696,585.29/78,566.76
  6. Step 6: Final answer
    x = 47,649.88

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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.