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Finding the Fourth Proportional to 57,915.81, 86,795.15 and 24,594.10

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Solution

The fourth proportional to 57,915.81, 86,795.15 and 24,594.10 is: 36,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,915.81 : 86,795.15 = 24,594.10 : x
  2. Step 2: Convert to fraction form
    57,915.81/86,795.15 = 24,594.10/x
  3. Step 3: Cross multiply
    57,915.81x = 86,795.15 × 24,594.10
  4. Step 4: Simplify right side
    57,915.81x = 2,134,648,258.66
  5. Step 5: Solve for x
    x = 2,134,648,258.66/57,915.81
  6. Step 6: Final answer
    x = 36,857.78

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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.