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Finding the Fourth Proportional to 115,726.12, 173,592.06 and 32,617

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Solution

The fourth proportional to 115,726.12, 173,592.06 and 32,617 is: 48,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726.12 : 173,592.06 = 32,617 : x
  2. Step 2: Convert to fraction form
    115,726.12/173,592.06 = 32,617/x
  3. Step 3: Cross multiply
    115,726.12x = 173,592.06 × 32,617
  4. Step 4: Simplify right side
    115,726.12x = 5,662,052,221.02
  5. Step 5: Solve for x
    x = 5,662,052,221.02/115,726.12
  6. Step 6: Final answer
    x = 48,926.31

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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.