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Finding the Fourth Proportional to 83,903.48, 115,787.62 and 46,178.60

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Solution

The fourth proportional to 83,903.48, 115,787.62 and 46,178.60 is: 63,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.48 : 115,787.62 = 46,178.60 : x
  2. Step 2: Convert to fraction form
    83,903.48/115,787.62 = 46,178.60/x
  3. Step 3: Cross multiply
    83,903.48x = 115,787.62 × 46,178.60
  4. Step 4: Simplify right side
    83,903.48x = 5,346,910,188.93
  5. Step 5: Solve for x
    x = 5,346,910,188.93/83,903.48
  6. Step 6: Final answer
    x = 63,726.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.