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Finding the Fourth Proportional to 70,120.96, 96,763.04 and 38,283.52

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Solution

The fourth proportional to 70,120.96, 96,763.04 and 38,283.52 is: 52,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120.96 : 96,763.04 = 38,283.52 : x
  2. Step 2: Convert to fraction form
    70,120.96/96,763.04 = 38,283.52/x
  3. Step 3: Cross multiply
    70,120.96x = 96,763.04 × 38,283.52
  4. Step 4: Simplify right side
    70,120.96x = 3,704,429,777.10
  5. Step 5: Solve for x
    x = 3,704,429,777.10/70,120.96
  6. Step 6: Final answer
    x = 52,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.