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Finding the Fourth Proportional to 56,817.52, 78,346.64 and 38,680

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Solution

The fourth proportional to 56,817.52, 78,346.64 and 38,680 is: 53,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,817.52 : 78,346.64 = 38,680 : x
  2. Step 2: Convert to fraction form
    56,817.52/78,346.64 = 38,680/x
  3. Step 3: Cross multiply
    56,817.52x = 78,346.64 × 38,680
  4. Step 4: Simplify right side
    56,817.52x = 3,030,448,035.20
  5. Step 5: Solve for x
    x = 3,030,448,035.20/56,817.52
  6. Step 6: Final answer
    x = 53,336.51

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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.