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Finding the Fourth Proportional to 57,394, 86,123.88 and 22,329.20

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Solution

The fourth proportional to 57,394, 86,123.88 and 22,329.20 is: 33,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394 : 86,123.88 = 22,329.20 : x
  2. Step 2: Convert to fraction form
    57,394/86,123.88 = 22,329.20/x
  3. Step 3: Cross multiply
    57,394x = 86,123.88 × 22,329.20
  4. Step 4: Simplify right side
    57,394x = 1,923,077,341.30
  5. Step 5: Solve for x
    x = 1,923,077,341.30/57,394
  6. Step 6: Final answer
    x = 33,506.59

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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.