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Finding the Fourth Proportional to 107,685.98, 161,509.50 and 37,585.34

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Solution

The fourth proportional to 107,685.98, 161,509.50 and 37,585.34 is: 56,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,685.98 : 161,509.50 = 37,585.34 : x
  2. Step 2: Convert to fraction form
    107,685.98/161,509.50 = 37,585.34/x
  3. Step 3: Cross multiply
    107,685.98x = 161,509.50 × 37,585.34
  4. Step 4: Simplify right side
    107,685.98x = 6,070,389,470.73
  5. Step 5: Solve for x
    x = 6,070,389,470.73/107,685.98
  6. Step 6: Final answer
    x = 56,371.21

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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.