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Finding the Fourth Proportional to 77,052, 106,331.76 and 41,724

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Solution

The fourth proportional to 77,052, 106,331.76 and 41,724 is: 57,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052 : 106,331.76 = 41,724 : x
  2. Step 2: Convert to fraction form
    77,052/106,331.76 = 41,724/x
  3. Step 3: Cross multiply
    77,052x = 106,331.76 × 41,724
  4. Step 4: Simplify right side
    77,052x = 4,436,586,354.24
  5. Step 5: Solve for x
    x = 4,436,586,354.24/77,052
  6. Step 6: Final answer
    x = 57,579.12

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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.