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Finding the Fourth Proportional to 32,547.33, 48,811.14 and 13,827.20

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Solution

The fourth proportional to 32,547.33, 48,811.14 and 13,827.20 is: 20,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.33 : 48,811.14 = 13,827.20 : x
  2. Step 2: Convert to fraction form
    32,547.33/48,811.14 = 13,827.20/x
  3. Step 3: Cross multiply
    32,547.33x = 48,811.14 × 13,827.20
  4. Step 4: Simplify right side
    32,547.33x = 674,921,150.95
  5. Step 5: Solve for x
    x = 674,921,150.95/32,547.33
  6. Step 6: Final answer
    x = 20,736.61

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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.