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Finding the Fourth Proportional to 83,308.32, 114,845.88 and 59,393.48

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Solution

The fourth proportional to 83,308.32, 114,845.88 and 59,393.48 is: 81,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.32 : 114,845.88 = 59,393.48 : x
  2. Step 2: Convert to fraction form
    83,308.32/114,845.88 = 59,393.48/x
  3. Step 3: Cross multiply
    83,308.32x = 114,845.88 × 59,393.48
  4. Step 4: Simplify right side
    83,308.32x = 6,821,096,125.36
  5. Step 5: Solve for x
    x = 6,821,096,125.36/83,308.32
  6. Step 6: Final answer
    x = 81,877.73

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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.