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Finding the Fourth Proportional to 71,779.50, 107,686.62 and 22,531.50

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Solution

The fourth proportional to 71,779.50, 107,686.62 and 22,531.50 is: 33,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,779.50 : 107,686.62 = 22,531.50 : x
  2. Step 2: Convert to fraction form
    71,779.50/107,686.62 = 22,531.50/x
  3. Step 3: Cross multiply
    71,779.50x = 107,686.62 × 22,531.50
  4. Step 4: Simplify right side
    71,779.50x = 2,426,341,078.53
  5. Step 5: Solve for x
    x = 2,426,341,078.53/71,779.50
  6. Step 6: Final answer
    x = 33,802.70

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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.