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Finding the Fourth Proportional to 76,881, 106,095.78 and 41,553

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Solution

The fourth proportional to 76,881, 106,095.78 and 41,553 is: 57,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881 : 106,095.78 = 41,553 : x
  2. Step 2: Convert to fraction form
    76,881/106,095.78 = 41,553/x
  3. Step 3: Cross multiply
    76,881x = 106,095.78 × 41,553
  4. Step 4: Simplify right side
    76,881x = 4,408,597,946.34
  5. Step 5: Solve for x
    x = 4,408,597,946.34/76,881
  6. Step 6: Final answer
    x = 57,343.14

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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.