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Finding the Fourth Proportional to 65,265.46, 97,722.51 and 34,034.74

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Solution

The fourth proportional to 65,265.46, 97,722.51 and 34,034.74 is: 50,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.46 : 97,722.51 = 34,034.74 : x
  2. Step 2: Convert to fraction form
    65,265.46/97,722.51 = 34,034.74/x
  3. Step 3: Cross multiply
    65,265.46x = 97,722.51 × 34,034.74
  4. Step 4: Simplify right side
    65,265.46x = 3,325,960,220.00
  5. Step 5: Solve for x
    x = 3,325,960,220.00/65,265.46
  6. Step 6: Final answer
    x = 50,960.50

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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.