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Finding the Fourth Proportional to 97,712.40, 146,584.80 and 41,579.40

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Solution

The fourth proportional to 97,712.40, 146,584.80 and 41,579.40 is: 62,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.40 : 146,584.80 = 41,579.40 : x
  2. Step 2: Convert to fraction form
    97,712.40/146,584.80 = 41,579.40/x
  3. Step 3: Cross multiply
    97,712.40x = 146,584.80 × 41,579.40
  4. Step 4: Simplify right side
    97,712.40x = 6,094,908,033.12
  5. Step 5: Solve for x
    x = 6,094,908,033.12/97,712.40
  6. Step 6: Final answer
    x = 62,375.99

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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.