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Finding the Fourth Proportional to 98,622.78, 147,860.25 and 32,023.14

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Solution

The fourth proportional to 98,622.78, 147,860.25 and 32,023.14 is: 48,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622.78 : 147,860.25 = 32,023.14 : x
  2. Step 2: Convert to fraction form
    98,622.78/147,860.25 = 32,023.14/x
  3. Step 3: Cross multiply
    98,622.78x = 147,860.25 × 32,023.14
  4. Step 4: Simplify right side
    98,622.78x = 4,734,949,486.19
  5. Step 5: Solve for x
    x = 4,734,949,486.19/98,622.78
  6. Step 6: Final answer
    x = 48,010.71

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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.