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Finding the Fourth Proportional to 73,699.50, 101,705.22 and 40,165.50

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Solution

The fourth proportional to 73,699.50, 101,705.22 and 40,165.50 is: 55,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,699.50 : 101,705.22 = 40,165.50 : x
  2. Step 2: Convert to fraction form
    73,699.50/101,705.22 = 40,165.50/x
  3. Step 3: Cross multiply
    73,699.50x = 101,705.22 × 40,165.50
  4. Step 4: Simplify right side
    73,699.50x = 4,085,041,013.91
  5. Step 5: Solve for x
    x = 4,085,041,013.91/73,699.50
  6. Step 6: Final answer
    x = 55,428.34

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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.