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Finding the Fourth Proportional to 83,862.60, 125,779.78 and 23,886.86

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Solution

The fourth proportional to 83,862.60, 125,779.78 and 23,886.86 is: 35,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,862.60 : 125,779.78 = 23,886.86 : x
  2. Step 2: Convert to fraction form
    83,862.60/125,779.78 = 23,886.86/x
  3. Step 3: Cross multiply
    83,862.60x = 125,779.78 × 23,886.86
  4. Step 4: Simplify right side
    83,862.60x = 3,004,484,177.29
  5. Step 5: Solve for x
    x = 3,004,484,177.29/83,862.60
  6. Step 6: Final answer
    x = 35,826.27

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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.