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Finding the Fourth Proportional to 32,874, 45,366.12 and 17,970

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Solution

The fourth proportional to 32,874, 45,366.12 and 17,970 is: 24,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874 : 45,366.12 = 17,970 : x
  2. Step 2: Convert to fraction form
    32,874/45,366.12 = 17,970/x
  3. Step 3: Cross multiply
    32,874x = 45,366.12 × 17,970
  4. Step 4: Simplify right side
    32,874x = 815,229,176.40
  5. Step 5: Solve for x
    x = 815,229,176.40/32,874
  6. Step 6: Final answer
    x = 24,798.60

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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.