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Finding the Fourth Proportional to 78,680.68, 108,619.50 and 53,321

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Solution

The fourth proportional to 78,680.68, 108,619.50 and 53,321 is: 73,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680.68 : 108,619.50 = 53,321 : x
  2. Step 2: Convert to fraction form
    78,680.68/108,619.50 = 53,321/x
  3. Step 3: Cross multiply
    78,680.68x = 108,619.50 × 53,321
  4. Step 4: Simplify right side
    78,680.68x = 5,791,700,359.50
  5. Step 5: Solve for x
    x = 5,791,700,359.50/78,680.68
  6. Step 6: Final answer
    x = 73,610.20

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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.