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Finding the Fourth Proportional to 32,881.50, 45,382.14 and 31,788

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Solution

The fourth proportional to 32,881.50, 45,382.14 and 31,788 is: 43,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.50 : 45,382.14 = 31,788 : x
  2. Step 2: Convert to fraction form
    32,881.50/45,382.14 = 31,788/x
  3. Step 3: Cross multiply
    32,881.50x = 45,382.14 × 31,788
  4. Step 4: Simplify right side
    32,881.50x = 1,442,607,466.32
  5. Step 5: Solve for x
    x = 1,442,607,466.32/32,881.50
  6. Step 6: Final answer
    x = 43,872.92

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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.