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Finding the Fourth Proportional to 53,641.60, 80,308.80 and 32,905.60

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Solution

The fourth proportional to 53,641.60, 80,308.80 and 32,905.60 is: 49,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641.60 : 80,308.80 = 32,905.60 : x
  2. Step 2: Convert to fraction form
    53,641.60/80,308.80 = 32,905.60/x
  3. Step 3: Cross multiply
    53,641.60x = 80,308.80 × 32,905.60
  4. Step 4: Simplify right side
    53,641.60x = 2,642,609,249.28
  5. Step 5: Solve for x
    x = 2,642,609,249.28/53,641.60
  6. Step 6: Final answer
    x = 49,264.18

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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.