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Finding the Fourth Proportional to 61,701.80, 85,148.34 and 33,407.48

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Solution

The fourth proportional to 61,701.80, 85,148.34 and 33,407.48 is: 46,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701.80 : 85,148.34 = 33,407.48 : x
  2. Step 2: Convert to fraction form
    61,701.80/85,148.34 = 33,407.48/x
  3. Step 3: Cross multiply
    61,701.80x = 85,148.34 × 33,407.48
  4. Step 4: Simplify right side
    61,701.80x = 2,844,591,465.58
  5. Step 5: Solve for x
    x = 2,844,591,465.58/61,701.80
  6. Step 6: Final answer
    x = 46,102.24

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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.