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Finding the Fourth Proportional to 32,565.89, 48,823.31 and 12,859.19

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Solution

The fourth proportional to 32,565.89, 48,823.31 and 12,859.19 is: 19,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.89 : 48,823.31 = 12,859.19 : x
  2. Step 2: Convert to fraction form
    32,565.89/48,823.31 = 12,859.19/x
  3. Step 3: Cross multiply
    32,565.89x = 48,823.31 × 12,859.19
  4. Step 4: Simplify right side
    32,565.89x = 627,828,309.63
  5. Step 5: Solve for x
    x = 627,828,309.63/32,565.89
  6. Step 6: Final answer
    x = 19,278.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.