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Finding the Fourth Proportional to 102,472.56, 153,697.28 and 27,598.19

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Solution

The fourth proportional to 102,472.56, 153,697.28 and 27,598.19 is: 41,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472.56 : 153,697.28 = 27,598.19 : x
  2. Step 2: Convert to fraction form
    102,472.56/153,697.28 = 27,598.19/x
  3. Step 3: Cross multiply
    102,472.56x = 153,697.28 × 27,598.19
  4. Step 4: Simplify right side
    102,472.56x = 4,241,765,829.45
  5. Step 5: Solve for x
    x = 4,241,765,829.45/102,472.56
  6. Step 6: Final answer
    x = 41,394.16

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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.