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Finding the Fourth Proportional to 65,295.01, 97,811.28 and 34,064.65

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Solution

The fourth proportional to 65,295.01, 97,811.28 and 34,064.65 is: 51,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295.01 : 97,811.28 = 34,064.65 : x
  2. Step 2: Convert to fraction form
    65,295.01/97,811.28 = 34,064.65/x
  3. Step 3: Cross multiply
    65,295.01x = 97,811.28 × 34,064.65
  4. Step 4: Simplify right side
    65,295.01x = 3,331,906,530.20
  5. Step 5: Solve for x
    x = 3,331,906,530.20/65,295.01
  6. Step 6: Final answer
    x = 51,028.51

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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.