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Finding the Fourth Proportional to 61,649.76, 85,078.02 and 34,054.34

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Solution

The fourth proportional to 61,649.76, 85,078.02 and 34,054.34 is: 46,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,649.76 : 85,078.02 = 34,054.34 : x
  2. Step 2: Convert to fraction form
    61,649.76/85,078.02 = 34,054.34/x
  3. Step 3: Cross multiply
    61,649.76x = 85,078.02 × 34,054.34
  4. Step 4: Simplify right side
    61,649.76x = 2,897,275,819.61
  5. Step 5: Solve for x
    x = 2,897,275,819.61/61,649.76
  6. Step 6: Final answer
    x = 46,995.74

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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.