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Finding the Fourth Proportional to 81,711.83, 122,574.80 and 22,547.50

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Solution

The fourth proportional to 81,711.83, 122,574.80 and 22,547.50 is: 33,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.83 : 122,574.80 = 22,547.50 : x
  2. Step 2: Convert to fraction form
    81,711.83/122,574.80 = 22,547.50/x
  3. Step 3: Cross multiply
    81,711.83x = 122,574.80 × 22,547.50
  4. Step 4: Simplify right side
    81,711.83x = 2,763,755,052.93
  5. Step 5: Solve for x
    x = 2,763,755,052.93/81,711.83
  6. Step 6: Final answer
    x = 33,823.20

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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.