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Finding the Fourth Proportional to 27,570.40, 41,344.80 and 10,031.20

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Solution

The fourth proportional to 27,570.40, 41,344.80 and 10,031.20 is: 15,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.40 : 41,344.80 = 10,031.20 : x
  2. Step 2: Convert to fraction form
    27,570.40/41,344.80 = 10,031.20/x
  3. Step 3: Cross multiply
    27,570.40x = 41,344.80 × 10,031.20
  4. Step 4: Simplify right side
    27,570.40x = 414,737,957.76
  5. Step 5: Solve for x
    x = 414,737,957.76/27,570.40
  6. Step 6: Final answer
    x = 15,042.87

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1.5x scale

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.