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Finding the Fourth Proportional to 98,474.76, 147,699.18 and 27,402.12

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Solution

The fourth proportional to 98,474.76, 147,699.18 and 27,402.12 is: 41,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474.76 : 147,699.18 = 27,402.12 : x
  2. Step 2: Convert to fraction form
    98,474.76/147,699.18 = 27,402.12/x
  3. Step 3: Cross multiply
    98,474.76x = 147,699.18 × 27,402.12
  4. Step 4: Simplify right side
    98,474.76x = 4,047,270,654.26
  5. Step 5: Solve for x
    x = 4,047,270,654.26/98,474.76
  6. Step 6: Final answer
    x = 41,099.57

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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.