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Finding the Fourth Proportional to 70,735.80, 97,582.68 and 42,392.28

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Solution

The fourth proportional to 70,735.80, 97,582.68 and 42,392.28 is: 58,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.80 : 97,582.68 = 42,392.28 : x
  2. Step 2: Convert to fraction form
    70,735.80/97,582.68 = 42,392.28/x
  3. Step 3: Cross multiply
    70,735.80x = 97,582.68 × 42,392.28
  4. Step 4: Simplify right side
    70,735.80x = 4,136,752,293.71
  5. Step 5: Solve for x
    x = 4,136,752,293.71/70,735.80
  6. Step 6: Final answer
    x = 58,481.73

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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.