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Finding the Fourth Proportional to 57,586, 86,341.84 and 24,297.20

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Solution

The fourth proportional to 57,586, 86,341.84 and 24,297.20 is: 36,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586 : 86,341.84 = 24,297.20 : x
  2. Step 2: Convert to fraction form
    57,586/86,341.84 = 24,297.20/x
  3. Step 3: Cross multiply
    57,586x = 86,341.84 × 24,297.20
  4. Step 4: Simplify right side
    57,586x = 2,097,864,954.85
  5. Step 5: Solve for x
    x = 2,097,864,954.85/57,586
  6. Step 6: Final answer
    x = 36,430.12

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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.