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Finding the Fourth Proportional to 73,770.34, 101,802.80 and 41,939.24

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Solution

The fourth proportional to 73,770.34, 101,802.80 and 41,939.24 is: 57,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,770.34 : 101,802.80 = 41,939.24 : x
  2. Step 2: Convert to fraction form
    73,770.34/101,802.80 = 41,939.24/x
  3. Step 3: Cross multiply
    73,770.34x = 101,802.80 × 41,939.24
  4. Step 4: Simplify right side
    73,770.34x = 4,269,532,061.87
  5. Step 5: Solve for x
    x = 4,269,532,061.87/73,770.34
  6. Step 6: Final answer
    x = 57,876.00

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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.