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Finding the Fourth Proportional to 83,953.86, 125,842.08 and 27,779.55

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Solution

The fourth proportional to 83,953.86, 125,842.08 and 27,779.55 is: 41,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953.86 : 125,842.08 = 27,779.55 : x
  2. Step 2: Convert to fraction form
    83,953.86/125,842.08 = 27,779.55/x
  3. Step 3: Cross multiply
    83,953.86x = 125,842.08 × 27,779.55
  4. Step 4: Simplify right side
    83,953.86x = 3,495,836,353.46
  5. Step 5: Solve for x
    x = 3,495,836,353.46/83,953.86
  6. Step 6: Final answer
    x = 41,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.