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Finding the Fourth Proportional to 65,257.65, 97,829.98 and 38,907.03

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Solution

The fourth proportional to 65,257.65, 97,829.98 and 38,907.03 is: 58,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.65 : 97,829.98 = 38,907.03 : x
  2. Step 2: Convert to fraction form
    65,257.65/97,829.98 = 38,907.03/x
  3. Step 3: Cross multiply
    65,257.65x = 97,829.98 × 38,907.03
  4. Step 4: Simplify right side
    65,257.65x = 3,806,274,236.35
  5. Step 5: Solve for x
    x = 3,806,274,236.35/65,257.65
  6. Step 6: Final answer
    x = 58,326.87

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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.