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Finding the Fourth Proportional to 83,302.14, 114,959.70 and 47,491.50

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Solution

The fourth proportional to 83,302.14, 114,959.70 and 47,491.50 is: 65,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.14 : 114,959.70 = 47,491.50 : x
  2. Step 2: Convert to fraction form
    83,302.14/114,959.70 = 47,491.50/x
  3. Step 3: Cross multiply
    83,302.14x = 114,959.70 × 47,491.50
  4. Step 4: Simplify right side
    83,302.14x = 5,459,608,592.55
  5. Step 5: Solve for x
    x = 5,459,608,592.55/83,302.14
  6. Step 6: Final answer
    x = 65,539.84

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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.