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Finding the Fourth Proportional to 38,545.76, 53,225.82 and 32,206.19

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Solution

The fourth proportional to 38,545.76, 53,225.82 and 32,206.19 is: 44,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.76 : 53,225.82 = 32,206.19 : x
  2. Step 2: Convert to fraction form
    38,545.76/53,225.82 = 32,206.19/x
  3. Step 3: Cross multiply
    38,545.76x = 53,225.82 × 32,206.19
  4. Step 4: Simplify right side
    38,545.76x = 1,714,200,605.70
  5. Step 5: Solve for x
    x = 1,714,200,605.70/38,545.76
  6. Step 6: Final answer
    x = 44,471.84

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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.