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Finding the Fourth Proportional to 32,462.10, 48,695.94 and 11,400.33

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Solution

The fourth proportional to 32,462.10, 48,695.94 and 11,400.33 is: 17,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.10 : 48,695.94 = 11,400.33 : x
  2. Step 2: Convert to fraction form
    32,462.10/48,695.94 = 11,400.33/x
  3. Step 3: Cross multiply
    32,462.10x = 48,695.94 × 11,400.33
  4. Step 4: Simplify right side
    32,462.10x = 555,149,728.66
  5. Step 5: Solve for x
    x = 555,149,728.66/32,462.10
  6. Step 6: Final answer
    x = 17,101.48

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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.