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Finding the Fourth Proportional to 27,987.40, 41,981.10 and 24,342.40

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Solution

The fourth proportional to 27,987.40, 41,981.10 and 24,342.40 is: 36,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.40 : 41,981.10 = 24,342.40 : x
  2. Step 2: Convert to fraction form
    27,987.40/41,981.10 = 24,342.40/x
  3. Step 3: Cross multiply
    27,987.40x = 41,981.10 × 24,342.40
  4. Step 4: Simplify right side
    27,987.40x = 1,021,920,728.64
  5. Step 5: Solve for x
    x = 1,021,920,728.64/27,987.40
  6. Step 6: Final answer
    x = 36,513.60

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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.