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Finding the Fourth Proportional to 78,657, 108,552.60 and 48,434.82

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Solution

The fourth proportional to 78,657, 108,552.60 and 48,434.82 is: 66,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657 : 108,552.60 = 48,434.82 : x
  2. Step 2: Convert to fraction form
    78,657/108,552.60 = 48,434.82/x
  3. Step 3: Cross multiply
    78,657x = 108,552.60 × 48,434.82
  4. Step 4: Simplify right side
    78,657x = 5,257,725,641.53
  5. Step 5: Solve for x
    x = 5,257,725,641.53/78,657
  6. Step 6: Final answer
    x = 66,843.71

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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.