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Finding the Fourth Proportional to 64,751.28, 97,020 and 29,613.48

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Solution

The fourth proportional to 64,751.28, 97,020 and 29,613.48 is: 44,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,751.28 : 97,020 = 29,613.48 : x
  2. Step 2: Convert to fraction form
    64,751.28/97,020 = 29,613.48/x
  3. Step 3: Cross multiply
    64,751.28x = 97,020 × 29,613.48
  4. Step 4: Simplify right side
    64,751.28x = 2,873,099,829.60
  5. Step 5: Solve for x
    x = 2,873,099,829.60/64,751.28
  6. Step 6: Final answer
    x = 44,371.32

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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.