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Finding the Fourth Proportional to 65,167.57, 97,347.02 and 47,256.04

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Solution

The fourth proportional to 65,167.57, 97,347.02 and 47,256.04 is: 70,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.57 : 97,347.02 = 47,256.04 : x
  2. Step 2: Convert to fraction form
    65,167.57/97,347.02 = 47,256.04/x
  3. Step 3: Cross multiply
    65,167.57x = 97,347.02 × 47,256.04
  4. Step 4: Simplify right side
    65,167.57x = 4,600,234,556.40
  5. Step 5: Solve for x
    x = 4,600,234,556.40/65,167.57
  6. Step 6: Final answer
    x = 70,590.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.