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Finding the Fourth Proportional to 65,295.51, 97,812.03 and 34,065.15

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Solution

The fourth proportional to 65,295.51, 97,812.03 and 34,065.15 is: 51,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295.51 : 97,812.03 = 34,065.15 : x
  2. Step 2: Convert to fraction form
    65,295.51/97,812.03 = 34,065.15/x
  3. Step 3: Cross multiply
    65,295.51x = 97,812.03 × 34,065.15
  4. Step 4: Simplify right side
    65,295.51x = 3,331,981,473.75
  5. Step 5: Solve for x
    x = 3,331,981,473.75/65,295.51
  6. Step 6: Final answer
    x = 51,029.26

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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.