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Finding the Fourth Proportional to 98,648.64, 147,958.32 and 36,304.56

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Solution

The fourth proportional to 98,648.64, 147,958.32 and 36,304.56 is: 54,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,648.64 : 147,958.32 = 36,304.56 : x
  2. Step 2: Convert to fraction form
    98,648.64/147,958.32 = 36,304.56/x
  3. Step 3: Cross multiply
    98,648.64x = 147,958.32 × 36,304.56
  4. Step 4: Simplify right side
    98,648.64x = 5,371,561,705.94
  5. Step 5: Solve for x
    x = 5,371,561,705.94/98,648.64
  6. Step 6: Final answer
    x = 54,451.45

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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.