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Finding the Fourth Proportional to 98,023.48, 147,034.50 and 27,902.68

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Solution

The fourth proportional to 98,023.48, 147,034.50 and 27,902.68 is: 41,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,023.48 : 147,034.50 = 27,902.68 : x
  2. Step 2: Convert to fraction form
    98,023.48/147,034.50 = 27,902.68/x
  3. Step 3: Cross multiply
    98,023.48x = 147,034.50 × 27,902.68
  4. Step 4: Simplify right side
    98,023.48x = 4,102,656,602.46
  5. Step 5: Solve for x
    x = 4,102,656,602.46/98,023.48
  6. Step 6: Final answer
    x = 41,853.82

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