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Finding the Fourth Proportional to 65,083.20, 97,624.80 and 63,625.20

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Solution

The fourth proportional to 65,083.20, 97,624.80 and 63,625.20 is: 95,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.20 : 97,624.80 = 63,625.20 : x
  2. Step 2: Convert to fraction form
    65,083.20/97,624.80 = 63,625.20/x
  3. Step 3: Cross multiply
    65,083.20x = 97,624.80 × 63,625.20
  4. Step 4: Simplify right side
    65,083.20x = 6,211,397,424.96
  5. Step 5: Solve for x
    x = 6,211,397,424.96/65,083.20
  6. Step 6: Final answer
    x = 95,437.80

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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.