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Finding the Fourth Proportional to 65,410.92, 90,256.23 and 38,549.79

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Solution

The fourth proportional to 65,410.92, 90,256.23 and 38,549.79 is: 53,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,410.92 : 90,256.23 = 38,549.79 : x
  2. Step 2: Convert to fraction form
    65,410.92/90,256.23 = 38,549.79/x
  3. Step 3: Cross multiply
    65,410.92x = 90,256.23 × 38,549.79
  4. Step 4: Simplify right side
    65,410.92x = 3,479,358,712.69
  5. Step 5: Solve for x
    x = 3,479,358,712.69/65,410.92
  6. Step 6: Final answer
    x = 53,192.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.