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Finding the Fourth Proportional to 65,305.98, 97,973.01 and 34,132.86

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Solution

The fourth proportional to 65,305.98, 97,973.01 and 34,132.86 is: 51,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.98 : 97,973.01 = 34,132.86 : x
  2. Step 2: Convert to fraction form
    65,305.98/97,973.01 = 34,132.86/x
  3. Step 3: Cross multiply
    65,305.98x = 97,973.01 × 34,132.86
  4. Step 4: Simplify right side
    65,305.98x = 3,344,099,034.11
  5. Step 5: Solve for x
    x = 3,344,099,034.11/65,305.98
  6. Step 6: Final answer
    x = 51,206.63

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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.