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Finding the Fourth Proportional to 61,257.74, 84,533.06 and 35,765.52

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Solution

The fourth proportional to 61,257.74, 84,533.06 and 35,765.52 is: 49,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,257.74 : 84,533.06 = 35,765.52 : x
  2. Step 2: Convert to fraction form
    61,257.74/84,533.06 = 35,765.52/x
  3. Step 3: Cross multiply
    61,257.74x = 84,533.06 × 35,765.52
  4. Step 4: Simplify right side
    61,257.74x = 3,023,368,246.60
  5. Step 5: Solve for x
    x = 3,023,368,246.60/61,257.74
  6. Step 6: Final answer
    x = 49,354.88

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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.