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Finding the Fourth Proportional to 65,677.92, 98,530.71 and 21,301.21

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Solution

The fourth proportional to 65,677.92, 98,530.71 and 21,301.21 is: 31,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677.92 : 98,530.71 = 21,301.21 : x
  2. Step 2: Convert to fraction form
    65,677.92/98,530.71 = 21,301.21/x
  3. Step 3: Cross multiply
    65,677.92x = 98,530.71 × 21,301.21
  4. Step 4: Simplify right side
    65,677.92x = 2,098,823,345.16
  5. Step 5: Solve for x
    x = 2,098,823,345.16/65,677.92
  6. Step 6: Final answer
    x = 31,956.30

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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.