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Finding the Fourth Proportional to 125,146.32, 187,602.84 and 41,982

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Solution

The fourth proportional to 125,146.32, 187,602.84 and 41,982 is: 62,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,146.32 : 187,602.84 = 41,982 : x
  2. Step 2: Convert to fraction form
    125,146.32/187,602.84 = 41,982/x
  3. Step 3: Cross multiply
    125,146.32x = 187,602.84 × 41,982
  4. Step 4: Simplify right side
    125,146.32x = 7,875,942,428.88
  5. Step 5: Solve for x
    x = 7,875,942,428.88/125,146.32
  6. Step 6: Final answer
    x = 62,933.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.