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Finding the Fourth Proportional to 32,565.15, 48,846.80 and 10,379.85

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Solution

The fourth proportional to 32,565.15, 48,846.80 and 10,379.85 is: 15,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.15 : 48,846.80 = 10,379.85 : x
  2. Step 2: Convert to fraction form
    32,565.15/48,846.80 = 10,379.85/x
  3. Step 3: Cross multiply
    32,565.15x = 48,846.80 × 10,379.85
  4. Step 4: Simplify right side
    32,565.15x = 507,022,405.08
  5. Step 5: Solve for x
    x = 507,022,405.08/32,565.15
  6. Step 6: Final answer
    x = 15,569.48

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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.