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Finding the Fourth Proportional to 30,632.40, 42,273.12 and 29,572.80

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Solution

The fourth proportional to 30,632.40, 42,273.12 and 29,572.80 is: 40,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632.40 : 42,273.12 = 29,572.80 : x
  2. Step 2: Convert to fraction form
    30,632.40/42,273.12 = 29,572.80/x
  3. Step 3: Cross multiply
    30,632.40x = 42,273.12 × 29,572.80
  4. Step 4: Simplify right side
    30,632.40x = 1,250,134,523.14
  5. Step 5: Solve for x
    x = 1,250,134,523.14/30,632.40
  6. Step 6: Final answer
    x = 40,810.86

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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.