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Finding the Fourth Proportional to 77,626, 107,123.88 and 42,298

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Solution

The fourth proportional to 77,626, 107,123.88 and 42,298 is: 58,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,626 : 107,123.88 = 42,298 : x
  2. Step 2: Convert to fraction form
    77,626/107,123.88 = 42,298/x
  3. Step 3: Cross multiply
    77,626x = 107,123.88 × 42,298
  4. Step 4: Simplify right side
    77,626x = 4,531,125,876.24
  5. Step 5: Solve for x
    x = 4,531,125,876.24/77,626
  6. Step 6: Final answer
    x = 58,371.24

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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.