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Finding the Fourth Proportional to 32,545.40, 48,818.10 and 20,144.30

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Solution

The fourth proportional to 32,545.40, 48,818.10 and 20,144.30 is: 30,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.40 : 48,818.10 = 20,144.30 : x
  2. Step 2: Convert to fraction form
    32,545.40/48,818.10 = 20,144.30/x
  3. Step 3: Cross multiply
    32,545.40x = 48,818.10 × 20,144.30
  4. Step 4: Simplify right side
    32,545.40x = 983,406,451.83
  5. Step 5: Solve for x
    x = 983,406,451.83/32,545.40
  6. Step 6: Final answer
    x = 30,216.45

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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.