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Finding the Fourth Proportional to 27,301.40, 40,952.10 and 8,833.40

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Solution

The fourth proportional to 27,301.40, 40,952.10 and 8,833.40 is: 13,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301.40 : 40,952.10 = 8,833.40 : x
  2. Step 2: Convert to fraction form
    27,301.40/40,952.10 = 8,833.40/x
  3. Step 3: Cross multiply
    27,301.40x = 40,952.10 × 8,833.40
  4. Step 4: Simplify right side
    27,301.40x = 361,746,280.14
  5. Step 5: Solve for x
    x = 361,746,280.14/27,301.40
  6. Step 6: Final answer
    x = 13,250.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.