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Finding the Fourth Proportional to 32,909.30, 49,331.55 and 16,271.90

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Solution

The fourth proportional to 32,909.30, 49,331.55 and 16,271.90 is: 24,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.30 : 49,331.55 = 16,271.90 : x
  2. Step 2: Convert to fraction form
    32,909.30/49,331.55 = 16,271.90/x
  3. Step 3: Cross multiply
    32,909.30x = 49,331.55 × 16,271.90
  4. Step 4: Simplify right side
    32,909.30x = 802,718,048.45
  5. Step 5: Solve for x
    x = 802,718,048.45/32,909.30
  6. Step 6: Final answer
    x = 24,391.83

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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.