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Finding the Fourth Proportional to 42,503.66, 58,622.10 and 27,398.78

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Solution

The fourth proportional to 42,503.66, 58,622.10 and 27,398.78 is: 37,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,503.66 : 58,622.10 = 27,398.78 : x
  2. Step 2: Convert to fraction form
    42,503.66/58,622.10 = 27,398.78/x
  3. Step 3: Cross multiply
    42,503.66x = 58,622.10 × 27,398.78
  4. Step 4: Simplify right side
    42,503.66x = 1,606,174,021.04
  5. Step 5: Solve for x
    x = 1,606,174,021.04/42,503.66
  6. Step 6: Final answer
    x = 37,789.08

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