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Finding the Fourth Proportional to 83,807.76, 125,715.54 and 27,652.80

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Solution

The fourth proportional to 83,807.76, 125,715.54 and 27,652.80 is: 41,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,807.76 : 125,715.54 = 27,652.80 : x
  2. Step 2: Convert to fraction form
    83,807.76/125,715.54 = 27,652.80/x
  3. Step 3: Cross multiply
    83,807.76x = 125,715.54 × 27,652.80
  4. Step 4: Simplify right side
    83,807.76x = 3,476,386,684.51
  5. Step 5: Solve for x
    x = 3,476,386,684.51/83,807.76
  6. Step 6: Final answer
    x = 41,480.49

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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.