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Finding the Fourth Proportional to 42,221.68, 58,265.58 and 23,359.84

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Solution

The fourth proportional to 42,221.68, 58,265.58 and 23,359.84 is: 32,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,221.68 : 58,265.58 = 23,359.84 : x
  2. Step 2: Convert to fraction form
    42,221.68/58,265.58 = 23,359.84/x
  3. Step 3: Cross multiply
    42,221.68x = 58,265.58 × 23,359.84
  4. Step 4: Simplify right side
    42,221.68x = 1,361,074,626.31
  5. Step 5: Solve for x
    x = 1,361,074,626.31/42,221.68
  6. Step 6: Final answer
    x = 32,236.39

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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.