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Finding the Fourth Proportional to 38,643.20, 57,964.80 and 38,124.80

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Solution

The fourth proportional to 38,643.20, 57,964.80 and 38,124.80 is: 57,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.20 : 57,964.80 = 38,124.80 : x
  2. Step 2: Convert to fraction form
    38,643.20/57,964.80 = 38,124.80/x
  3. Step 3: Cross multiply
    38,643.20x = 57,964.80 × 38,124.80
  4. Step 4: Simplify right side
    38,643.20x = 2,209,896,407.04
  5. Step 5: Solve for x
    x = 2,209,896,407.04/38,643.20
  6. Step 6: Final answer
    x = 57,187.20

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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.