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Finding the Fourth Proportional to 82,772.30, 124,184.38 and 53,223.50

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Solution

The fourth proportional to 82,772.30, 124,184.38 and 53,223.50 is: 79,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.30 : 124,184.38 = 53,223.50 : x
  2. Step 2: Convert to fraction form
    82,772.30/124,184.38 = 53,223.50/x
  3. Step 3: Cross multiply
    82,772.30x = 124,184.38 × 53,223.50
  4. Step 4: Simplify right side
    82,772.30x = 6,609,527,348.93
  5. Step 5: Solve for x
    x = 6,609,527,348.93/82,772.30
  6. Step 6: Final answer
    x = 79,851.92

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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.