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Finding the Fourth Proportional to 36,000.32, 49,678.08 and 22,571

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Solution

The fourth proportional to 36,000.32, 49,678.08 and 22,571 is: 31,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.32 : 49,678.08 = 22,571 : x
  2. Step 2: Convert to fraction form
    36,000.32/49,678.08 = 22,571/x
  3. Step 3: Cross multiply
    36,000.32x = 49,678.08 × 22,571
  4. Step 4: Simplify right side
    36,000.32x = 1,121,283,943.68
  5. Step 5: Solve for x
    x = 1,121,283,943.68/36,000.32
  6. Step 6: Final answer
    x = 31,146.50

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Double scale
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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.