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Finding the Fourth Proportional to 32,881.38, 45,376.31 and 17,774

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Solution

The fourth proportional to 32,881.38, 45,376.31 and 17,774 is: 24,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.38 : 45,376.31 = 17,774 : x
  2. Step 2: Convert to fraction form
    32,881.38/45,376.31 = 17,774/x
  3. Step 3: Cross multiply
    32,881.38x = 45,376.31 × 17,774
  4. Step 4: Simplify right side
    32,881.38x = 806,518,533.94
  5. Step 5: Solve for x
    x = 806,518,533.94/32,881.38
  6. Step 6: Final answer
    x = 24,528.12

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Why These Related Problems?

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