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Finding the Fourth Proportional to 97,544.61, 146,316.92 and 27,423.92

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Solution

The fourth proportional to 97,544.61, 146,316.92 and 27,423.92 is: 41,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,544.61 : 146,316.92 = 27,423.92 : x
  2. Step 2: Convert to fraction form
    97,544.61/146,316.92 = 27,423.92/x
  3. Step 3: Cross multiply
    97,544.61x = 146,316.92 × 27,423.92
  4. Step 4: Simplify right side
    97,544.61x = 4,012,582,640.02
  5. Step 5: Solve for x
    x = 4,012,582,640.02/97,544.61
  6. Step 6: Final answer
    x = 41,135.87

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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.