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Finding the Fourth Proportional to 73,882.22, 101,991.03 and 47,061.50

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Solution

The fourth proportional to 73,882.22, 101,991.03 and 47,061.50 is: 64,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.22 : 101,991.03 = 47,061.50 : x
  2. Step 2: Convert to fraction form
    73,882.22/101,991.03 = 47,061.50/x
  3. Step 3: Cross multiply
    73,882.22x = 101,991.03 × 47,061.50
  4. Step 4: Simplify right side
    73,882.22x = 4,799,850,858.35
  5. Step 5: Solve for x
    x = 4,799,850,858.35/73,882.22
  6. Step 6: Final answer
    x = 64,966.25

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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.