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Finding the Fourth Proportional to 57,779.80, 86,677.80 and 22,711.30

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Solution

The fourth proportional to 57,779.80, 86,677.80 and 22,711.30 is: 34,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,779.80 : 86,677.80 = 22,711.30 : x
  2. Step 2: Convert to fraction form
    57,779.80/86,677.80 = 22,711.30/x
  3. Step 3: Cross multiply
    57,779.80x = 86,677.80 × 22,711.30
  4. Step 4: Simplify right side
    57,779.80x = 1,968,565,519.14
  5. Step 5: Solve for x
    x = 1,968,565,519.14/57,779.80
  6. Step 6: Final answer
    x = 34,070.13

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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.