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Finding the Fourth Proportional to 32,407.12, 44,695.38 and 27,212.95

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Solution

The fourth proportional to 32,407.12, 44,695.38 and 27,212.95 is: 37,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.12 : 44,695.38 = 27,212.95 : x
  2. Step 2: Convert to fraction form
    32,407.12/44,695.38 = 27,212.95/x
  3. Step 3: Cross multiply
    32,407.12x = 44,695.38 × 27,212.95
  4. Step 4: Simplify right side
    32,407.12x = 1,216,293,141.17
  5. Step 5: Solve for x
    x = 1,216,293,141.17/32,407.12
  6. Step 6: Final answer
    x = 37,531.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.