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Finding the Fourth Proportional to 32,458.57, 48,709.13 and 11,398.06

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Solution

The fourth proportional to 32,458.57, 48,709.13 and 11,398.06 is: 17,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.57 : 48,709.13 = 11,398.06 : x
  2. Step 2: Convert to fraction form
    32,458.57/48,709.13 = 11,398.06/x
  3. Step 3: Cross multiply
    32,458.57x = 48,709.13 × 11,398.06
  4. Step 4: Simplify right side
    32,458.57x = 555,189,407.52
  5. Step 5: Solve for x
    x = 555,189,407.52/32,458.57
  6. Step 6: Final answer
    x = 17,104.56

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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.