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Finding the Fourth Proportional to 97,833.68, 146,730 and 27,694.16

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Solution

The fourth proportional to 97,833.68, 146,730 and 27,694.16 is: 41,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,833.68 : 146,730 = 27,694.16 : x
  2. Step 2: Convert to fraction form
    97,833.68/146,730 = 27,694.16/x
  3. Step 3: Cross multiply
    97,833.68x = 146,730 × 27,694.16
  4. Step 4: Simplify right side
    97,833.68x = 4,063,564,096.80
  5. Step 5: Solve for x
    x = 4,063,564,096.80/97,833.68
  6. Step 6: Final answer
    x = 41,535.43

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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.