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Finding the Fourth Proportional to 53,649.80, 80,442.70 and 32,888.20

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Solution

The fourth proportional to 53,649.80, 80,442.70 and 32,888.20 is: 49,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649.80 : 80,442.70 = 32,888.20 : x
  2. Step 2: Convert to fraction form
    53,649.80/80,442.70 = 32,888.20/x
  3. Step 3: Cross multiply
    53,649.80x = 80,442.70 × 32,888.20
  4. Step 4: Simplify right side
    53,649.80x = 2,645,615,606.14
  5. Step 5: Solve for x
    x = 2,645,615,606.14/53,649.80
  6. Step 6: Final answer
    x = 49,312.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.