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Finding the Fourth Proportional to 71,779.48, 98,951.83 and 47,539.83

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Solution

The fourth proportional to 71,779.48, 98,951.83 and 47,539.83 is: 65,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,779.48 : 98,951.83 = 47,539.83 : x
  2. Step 2: Convert to fraction form
    71,779.48/98,951.83 = 47,539.83/x
  3. Step 3: Cross multiply
    71,779.48x = 98,951.83 × 47,539.83
  4. Step 4: Simplify right side
    71,779.48x = 4,704,153,176.39
  5. Step 5: Solve for x
    x = 4,704,153,176.39/71,779.48
  6. Step 6: Final answer
    x = 65,536.18

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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.