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Finding the Fourth Proportional to 30,545.80, 42,096.12 and 23,820.77

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Solution

The fourth proportional to 30,545.80, 42,096.12 and 23,820.77 is: 32,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545.80 : 42,096.12 = 23,820.77 : x
  2. Step 2: Convert to fraction form
    30,545.80/42,096.12 = 23,820.77/x
  3. Step 3: Cross multiply
    30,545.80x = 42,096.12 × 23,820.77
  4. Step 4: Simplify right side
    30,545.80x = 1,002,761,992.41
  5. Step 5: Solve for x
    x = 1,002,761,992.41/30,545.80
  6. Step 6: Final answer
    x = 32,828.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.