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Finding the Fourth Proportional to 27,030.48, 40,545.24 and 8,562

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Solution

The fourth proportional to 27,030.48, 40,545.24 and 8,562 is: 12,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030.48 : 40,545.24 = 8,562 : x
  2. Step 2: Convert to fraction form
    27,030.48/40,545.24 = 8,562/x
  3. Step 3: Cross multiply
    27,030.48x = 40,545.24 × 8,562
  4. Step 4: Simplify right side
    27,030.48x = 347,148,344.88
  5. Step 5: Solve for x
    x = 347,148,344.88/27,030.48
  6. Step 6: Final answer
    x = 12,842.85

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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.