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Finding the Fourth Proportional to 57,705.78, 86,574.60 and 24,408.30

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Solution

The fourth proportional to 57,705.78, 86,574.60 and 24,408.30 is: 36,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.78 : 86,574.60 = 24,408.30 : x
  2. Step 2: Convert to fraction form
    57,705.78/86,574.60 = 24,408.30/x
  3. Step 3: Cross multiply
    57,705.78x = 86,574.60 × 24,408.30
  4. Step 4: Simplify right side
    57,705.78x = 2,113,138,809.18
  5. Step 5: Solve for x
    x = 2,113,138,809.18/57,705.78
  6. Step 6: Final answer
    x = 36,619.19

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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.