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Finding the Fourth Proportional to 37,009.60, 55,514.40 and 32,781.40

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Solution

The fourth proportional to 37,009.60, 55,514.40 and 32,781.40 is: 49,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.60 : 55,514.40 = 32,781.40 : x
  2. Step 2: Convert to fraction form
    37,009.60/55,514.40 = 32,781.40/x
  3. Step 3: Cross multiply
    37,009.60x = 55,514.40 × 32,781.40
  4. Step 4: Simplify right side
    37,009.60x = 1,819,839,752.16
  5. Step 5: Solve for x
    x = 1,819,839,752.16/37,009.60
  6. Step 6: Final answer
    x = 49,172.10

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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.