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Finding the Fourth Proportional to 83,903.80, 115,783.84 and 48,068.96

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Solution

The fourth proportional to 83,903.80, 115,783.84 and 48,068.96 is: 66,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.80 : 115,783.84 = 48,068.96 : x
  2. Step 2: Convert to fraction form
    83,903.80/115,783.84 = 48,068.96/x
  3. Step 3: Cross multiply
    83,903.80x = 115,783.84 × 48,068.96
  4. Step 4: Simplify right side
    83,903.80x = 5,565,608,773.61
  5. Step 5: Solve for x
    x = 5,565,608,773.61/83,903.80
  6. Step 6: Final answer
    x = 66,333.21

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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.