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Finding the Fourth Proportional to 41,314, 57,011.76 and 22,450.72

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Solution

The fourth proportional to 41,314, 57,011.76 and 22,450.72 is: 30,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314 : 57,011.76 = 22,450.72 : x
  2. Step 2: Convert to fraction form
    41,314/57,011.76 = 22,450.72/x
  3. Step 3: Cross multiply
    41,314x = 57,011.76 × 22,450.72
  4. Step 4: Simplify right side
    41,314x = 1,279,955,060.47
  5. Step 5: Solve for x
    x = 1,279,955,060.47/41,314
  6. Step 6: Final answer
    x = 30,981.15

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1.5x scale

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.