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Finding the Fourth Proportional to 32,547.36, 48,821.02 and 11,766

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Solution

The fourth proportional to 32,547.36, 48,821.02 and 11,766 is: 17,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.36 : 48,821.02 = 11,766 : x
  2. Step 2: Convert to fraction form
    32,547.36/48,821.02 = 11,766/x
  3. Step 3: Cross multiply
    32,547.36x = 48,821.02 × 11,766
  4. Step 4: Simplify right side
    32,547.36x = 574,428,121.32
  5. Step 5: Solve for x
    x = 574,428,121.32/32,547.36
  6. Step 6: Final answer
    x = 17,648.99

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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.