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Finding the Fourth Proportional to 32,659.41, 48,717.98 and 31,566.14

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Solution

The fourth proportional to 32,659.41, 48,717.98 and 31,566.14 is: 47,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.41 : 48,717.98 = 31,566.14 : x
  2. Step 2: Convert to fraction form
    32,659.41/48,717.98 = 31,566.14/x
  3. Step 3: Cross multiply
    32,659.41x = 48,717.98 × 31,566.14
  4. Step 4: Simplify right side
    32,659.41x = 1,537,838,577.20
  5. Step 5: Solve for x
    x = 1,537,838,577.20/32,659.41
  6. Step 6: Final answer
    x = 47,087.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.