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Finding the Fourth Proportional to 105,900.32, 158,881.24 and 42,687.82

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Solution

The fourth proportional to 105,900.32, 158,881.24 and 42,687.82 is: 64,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.32 : 158,881.24 = 42,687.82 : x
  2. Step 2: Convert to fraction form
    105,900.32/158,881.24 = 42,687.82/x
  3. Step 3: Cross multiply
    105,900.32x = 158,881.24 × 42,687.82
  4. Step 4: Simplify right side
    105,900.32x = 6,782,293,774.50
  5. Step 5: Solve for x
    x = 6,782,293,774.50/105,900.32
  6. Step 6: Final answer
    x = 64,044.13

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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.