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Finding the Fourth Proportional to 32,891.40, 45,389.70 and 17,987.40

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Solution

The fourth proportional to 32,891.40, 45,389.70 and 17,987.40 is: 24,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.40 : 45,389.70 = 17,987.40 : x
  2. Step 2: Convert to fraction form
    32,891.40/45,389.70 = 17,987.40/x
  3. Step 3: Cross multiply
    32,891.40x = 45,389.70 × 17,987.40
  4. Step 4: Simplify right side
    32,891.40x = 816,442,689.78
  5. Step 5: Solve for x
    x = 816,442,689.78/32,891.40
  6. Step 6: Final answer
    x = 24,822.38

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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.