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Finding the Fourth Proportional to 76,880, 106,094.40 and 41,552

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Solution

The fourth proportional to 76,880, 106,094.40 and 41,552 is: 57,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880 : 106,094.40 = 41,552 : x
  2. Step 2: Convert to fraction form
    76,880/106,094.40 = 41,552/x
  3. Step 3: Cross multiply
    76,880x = 106,094.40 × 41,552
  4. Step 4: Simplify right side
    76,880x = 4,408,434,508.80
  5. Step 5: Solve for x
    x = 4,408,434,508.80/76,880
  6. Step 6: Final answer
    x = 57,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.