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Finding the Fourth Proportional to 52,227.65, 72,048.76 and 30,991.88

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Solution

The fourth proportional to 52,227.65, 72,048.76 and 30,991.88 is: 42,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227.65 : 72,048.76 = 30,991.88 : x
  2. Step 2: Convert to fraction form
    52,227.65/72,048.76 = 30,991.88/x
  3. Step 3: Cross multiply
    52,227.65x = 72,048.76 × 30,991.88
  4. Step 4: Simplify right side
    52,227.65x = 2,232,926,626.71
  5. Step 5: Solve for x
    x = 2,232,926,626.71/52,227.65
  6. Step 6: Final answer
    x = 42,753.72

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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.