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Finding the Fourth Proportional to 81,867.50, 122,840.13 and 26,463.50

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Solution

The fourth proportional to 81,867.50, 122,840.13 and 26,463.50 is: 39,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,867.50 : 122,840.13 = 26,463.50 : x
  2. Step 2: Convert to fraction form
    81,867.50/122,840.13 = 26,463.50/x
  3. Step 3: Cross multiply
    81,867.50x = 122,840.13 × 26,463.50
  4. Step 4: Simplify right side
    81,867.50x = 3,250,779,780.26
  5. Step 5: Solve for x
    x = 3,250,779,780.26/81,867.50
  6. Step 6: Final answer
    x = 39,707.82

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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.