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Finding the Fourth Proportional to 61,756.48, 85,224.03 and 33,462.16

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Solution

The fourth proportional to 61,756.48, 85,224.03 and 33,462.16 is: 46,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,756.48 : 85,224.03 = 33,462.16 : x
  2. Step 2: Convert to fraction form
    61,756.48/85,224.03 = 33,462.16/x
  3. Step 3: Cross multiply
    61,756.48x = 85,224.03 × 33,462.16
  4. Step 4: Simplify right side
    61,756.48x = 2,851,780,127.70
  5. Step 5: Solve for x
    x = 2,851,780,127.70/61,756.48
  6. Step 6: Final answer
    x = 46,177.83

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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.