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Finding the Fourth Proportional to 55,042.50, 75,965.13 and 32,686.50

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Solution

The fourth proportional to 55,042.50, 75,965.13 and 32,686.50 is: 45,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,042.50 : 75,965.13 = 32,686.50 : x
  2. Step 2: Convert to fraction form
    55,042.50/75,965.13 = 32,686.50/x
  3. Step 3: Cross multiply
    55,042.50x = 75,965.13 × 32,686.50
  4. Step 4: Simplify right side
    55,042.50x = 2,483,034,221.75
  5. Step 5: Solve for x
    x = 2,483,034,221.75/55,042.50
  6. Step 6: Final answer
    x = 45,111.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.