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Finding the Fourth Proportional to 32,547.60, 48,821.40 and 11,766.24

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Solution

The fourth proportional to 32,547.60, 48,821.40 and 11,766.24 is: 17,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.60 : 48,821.40 = 11,766.24 : x
  2. Step 2: Convert to fraction form
    32,547.60/48,821.40 = 11,766.24/x
  3. Step 3: Cross multiply
    32,547.60x = 48,821.40 × 11,766.24
  4. Step 4: Simplify right side
    32,547.60x = 574,444,309.54
  5. Step 5: Solve for x
    x = 574,444,309.54/32,547.60
  6. Step 6: Final answer
    x = 17,649.36

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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.