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Finding the Fourth Proportional to 57,599.66, 86,411.19 and 24,319.82

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Solution

The fourth proportional to 57,599.66, 86,411.19 and 24,319.82 is: 36,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,599.66 : 86,411.19 = 24,319.82 : x
  2. Step 2: Convert to fraction form
    57,599.66/86,411.19 = 24,319.82/x
  3. Step 3: Cross multiply
    57,599.66x = 86,411.19 × 24,319.82
  4. Step 4: Simplify right side
    57,599.66x = 2,101,504,586.79
  5. Step 5: Solve for x
    x = 2,101,504,586.79/57,599.66
  6. Step 6: Final answer
    x = 36,484.67

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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.