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Finding the Fourth Proportional to 27,752.40, 41,630.76 and 8,031.24

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Solution

The fourth proportional to 27,752.40, 41,630.76 and 8,031.24 is: 12,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.40 : 41,630.76 = 8,031.24 : x
  2. Step 2: Convert to fraction form
    27,752.40/41,630.76 = 8,031.24/x
  3. Step 3: Cross multiply
    27,752.40x = 41,630.76 × 8,031.24
  4. Step 4: Simplify right side
    27,752.40x = 334,346,624.94
  5. Step 5: Solve for x
    x = 334,346,624.94/27,752.40
  6. Step 6: Final answer
    x = 12,047.49

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Double scale
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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.