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Finding the Fourth Proportional to 56,692.65, 85,023.72 and 17,239.17

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Solution

The fourth proportional to 56,692.65, 85,023.72 and 17,239.17 is: 25,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,692.65 : 85,023.72 = 17,239.17 : x
  2. Step 2: Convert to fraction form
    56,692.65/85,023.72 = 17,239.17/x
  3. Step 3: Cross multiply
    56,692.65x = 85,023.72 × 17,239.17
  4. Step 4: Simplify right side
    56,692.65x = 1,465,738,363.11
  5. Step 5: Solve for x
    x = 1,465,738,363.11/56,692.65
  6. Step 6: Final answer
    x = 25,854.12

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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.