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Finding the Fourth Proportional to 65,017.70, 97,539.92 and 29,461.94

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Solution

The fourth proportional to 65,017.70, 97,539.92 and 29,461.94 is: 44,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017.70 : 97,539.92 = 29,461.94 : x
  2. Step 2: Convert to fraction form
    65,017.70/97,539.92 = 29,461.94/x
  3. Step 3: Cross multiply
    65,017.70x = 97,539.92 × 29,461.94
  4. Step 4: Simplify right side
    65,017.70x = 2,873,715,588.15
  5. Step 5: Solve for x
    x = 2,873,715,588.15/65,017.70
  6. Step 6: Final answer
    x = 44,198.97

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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.