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Finding the Fourth Proportional to 98,565.78, 147,832.48 and 27,493.25

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Solution

The fourth proportional to 98,565.78, 147,832.48 and 27,493.25 is: 41,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,565.78 : 147,832.48 = 27,493.25 : x
  2. Step 2: Convert to fraction form
    98,565.78/147,832.48 = 27,493.25/x
  3. Step 3: Cross multiply
    98,565.78x = 147,832.48 × 27,493.25
  4. Step 4: Simplify right side
    98,565.78x = 4,064,395,330.76
  5. Step 5: Solve for x
    x = 4,064,395,330.76/98,565.78
  6. Step 6: Final answer
    x = 41,235.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.