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Finding the Fourth Proportional to 57,763.98, 86,624.10 and 22,684.50

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Solution

The fourth proportional to 57,763.98, 86,624.10 and 22,684.50 is: 34,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,763.98 : 86,624.10 = 22,684.50 : x
  2. Step 2: Convert to fraction form
    57,763.98/86,624.10 = 22,684.50/x
  3. Step 3: Cross multiply
    57,763.98x = 86,624.10 × 22,684.50
  4. Step 4: Simplify right side
    57,763.98x = 1,965,024,396.45
  5. Step 5: Solve for x
    x = 1,965,024,396.45/57,763.98
  6. Step 6: Final answer
    x = 34,018.16

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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.