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Finding the Fourth Proportional to 36,657.60, 54,856.80 and 33,547.20

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Solution

The fourth proportional to 36,657.60, 54,856.80 and 33,547.20 is: 50,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,657.60 : 54,856.80 = 33,547.20 : x
  2. Step 2: Convert to fraction form
    36,657.60/54,856.80 = 33,547.20/x
  3. Step 3: Cross multiply
    36,657.60x = 54,856.80 × 33,547.20
  4. Step 4: Simplify right side
    36,657.60x = 1,840,292,040.96
  5. Step 5: Solve for x
    x = 1,840,292,040.96/36,657.60
  6. Step 6: Final answer
    x = 50,202.20

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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.