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Finding the Fourth Proportional to 57,599.16, 86,410.44 and 24,319.32

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Solution

The fourth proportional to 57,599.16, 86,410.44 and 24,319.32 is: 36,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,599.16 : 86,410.44 = 24,319.32 : x
  2. Step 2: Convert to fraction form
    57,599.16/86,410.44 = 24,319.32/x
  3. Step 3: Cross multiply
    57,599.16x = 86,410.44 × 24,319.32
  4. Step 4: Simplify right side
    57,599.16x = 2,101,443,141.70
  5. Step 5: Solve for x
    x = 2,101,443,141.70/57,599.16
  6. Step 6: Final answer
    x = 36,483.92

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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.