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Finding the Fourth Proportional to 76,715.92, 115,057.48 and 24,113.10

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Solution

The fourth proportional to 76,715.92, 115,057.48 and 24,113.10 is: 36,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,715.92 : 115,057.48 = 24,113.10 : x
  2. Step 2: Convert to fraction form
    76,715.92/115,057.48 = 24,113.10/x
  3. Step 3: Cross multiply
    76,715.92x = 115,057.48 × 24,113.10
  4. Step 4: Simplify right side
    76,715.92x = 2,774,392,520.99
  5. Step 5: Solve for x
    x = 2,774,392,520.99/76,715.92
  6. Step 6: Final answer
    x = 36,164.50

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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.