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Finding the Fourth Proportional to 25,478.80, 38,218.20 and 19,646.80

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Solution

The fourth proportional to 25,478.80, 38,218.20 and 19,646.80 is: 29,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.80 : 38,218.20 = 19,646.80 : x
  2. Step 2: Convert to fraction form
    25,478.80/38,218.20 = 19,646.80/x
  3. Step 3: Cross multiply
    25,478.80x = 38,218.20 × 19,646.80
  4. Step 4: Simplify right side
    25,478.80x = 750,865,331.76
  5. Step 5: Solve for x
    x = 750,865,331.76/25,478.80
  6. Step 6: Final answer
    x = 29,470.20

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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.