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Finding the Fourth Proportional to 65,105.92, 97,658.16 and 49,407.36

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Solution

The fourth proportional to 65,105.92, 97,658.16 and 49,407.36 is: 74,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.92 : 97,658.16 = 49,407.36 : x
  2. Step 2: Convert to fraction form
    65,105.92/97,658.16 = 49,407.36/x
  3. Step 3: Cross multiply
    65,105.92x = 97,658.16 × 49,407.36
  4. Step 4: Simplify right side
    65,105.92x = 4,825,031,868.06
  5. Step 5: Solve for x
    x = 4,825,031,868.06/65,105.92
  6. Step 6: Final answer
    x = 74,110.49

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1.5x scale

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.