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Finding the Fourth Proportional to 42,297.60, 58,369.92 and 24,393.36

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Solution

The fourth proportional to 42,297.60, 58,369.92 and 24,393.36 is: 33,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,297.60 : 58,369.92 = 24,393.36 : x
  2. Step 2: Convert to fraction form
    42,297.60/58,369.92 = 24,393.36/x
  3. Step 3: Cross multiply
    42,297.60x = 58,369.92 × 24,393.36
  4. Step 4: Simplify right side
    42,297.60x = 1,423,838,471.73
  5. Step 5: Solve for x
    x = 1,423,838,471.73/42,297.60
  6. Step 6: Final answer
    x = 33,662.39

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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.