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Finding the Fourth Proportional to 32,206.80, 48,287.70 and 19,052.40

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Solution

The fourth proportional to 32,206.80, 48,287.70 and 19,052.40 is: 28,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.80 : 48,287.70 = 19,052.40 : x
  2. Step 2: Convert to fraction form
    32,206.80/48,287.70 = 19,052.40/x
  3. Step 3: Cross multiply
    32,206.80x = 48,287.70 × 19,052.40
  4. Step 4: Simplify right side
    32,206.80x = 919,996,575.48
  5. Step 5: Solve for x
    x = 919,996,575.48/32,206.80
  6. Step 6: Final answer
    x = 28,565.29

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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.