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Finding the Fourth Proportional to 55,225.50, 82,838.25 and 13,672.50

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Solution

The fourth proportional to 55,225.50, 82,838.25 and 13,672.50 is: 20,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,225.50 : 82,838.25 = 13,672.50 : x
  2. Step 2: Convert to fraction form
    55,225.50/82,838.25 = 13,672.50/x
  3. Step 3: Cross multiply
    55,225.50x = 82,838.25 × 13,672.50
  4. Step 4: Simplify right side
    55,225.50x = 1,132,605,973.13
  5. Step 5: Solve for x
    x = 1,132,605,973.13/55,225.50
  6. Step 6: Final answer
    x = 20,508.75

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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.