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Finding the Fourth Proportional to 64,452.76, 96,675.24 and 38,323.78

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Solution

The fourth proportional to 64,452.76, 96,675.24 and 38,323.78 is: 57,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,452.76 : 96,675.24 = 38,323.78 : x
  2. Step 2: Convert to fraction form
    64,452.76/96,675.24 = 38,323.78/x
  3. Step 3: Cross multiply
    64,452.76x = 96,675.24 × 38,323.78
  4. Step 4: Simplify right side
    64,452.76x = 3,704,960,629.21
  5. Step 5: Solve for x
    x = 3,704,960,629.21/64,452.76
  6. Step 6: Final answer
    x = 57,483.35

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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.