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Finding the Fourth Proportional to 65,209.96, 97,834.44 and 37,488.52

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Solution

The fourth proportional to 65,209.96, 97,834.44 and 37,488.52 is: 56,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.96 : 97,834.44 = 37,488.52 : x
  2. Step 2: Convert to fraction form
    65,209.96/97,834.44 = 37,488.52/x
  3. Step 3: Cross multiply
    65,209.96x = 97,834.44 × 37,488.52
  4. Step 4: Simplify right side
    65,209.96x = 3,667,668,360.63
  5. Step 5: Solve for x
    x = 3,667,668,360.63/65,209.96
  6. Step 6: Final answer
    x = 56,243.99

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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.