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Finding the Fourth Proportional to 42,204.52, 58,235.40 and 23,338

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Solution

The fourth proportional to 42,204.52, 58,235.40 and 23,338 is: 32,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,204.52 : 58,235.40 = 23,338 : x
  2. Step 2: Convert to fraction form
    42,204.52/58,235.40 = 23,338/x
  3. Step 3: Cross multiply
    42,204.52x = 58,235.40 × 23,338
  4. Step 4: Simplify right side
    42,204.52x = 1,359,097,765.20
  5. Step 5: Solve for x
    x = 1,359,097,765.20/42,204.52
  6. Step 6: Final answer
    x = 32,202.66

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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.