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Finding the Fourth Proportional to 65,129.86, 97,542.87 and 47,556.10

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Solution

The fourth proportional to 65,129.86, 97,542.87 and 47,556.10 is: 71,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.86 : 97,542.87 = 47,556.10 : x
  2. Step 2: Convert to fraction form
    65,129.86/97,542.87 = 47,556.10/x
  3. Step 3: Cross multiply
    65,129.86x = 97,542.87 × 47,556.10
  4. Step 4: Simplify right side
    65,129.86x = 4,638,758,480.01
  5. Step 5: Solve for x
    x = 4,638,758,480.01/65,129.86
  6. Step 6: Final answer
    x = 71,223.22

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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.