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Finding the Fourth Proportional to 73,946.50, 102,046.18 and 40,412.50

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Solution

The fourth proportional to 73,946.50, 102,046.18 and 40,412.50 is: 55,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,946.50 : 102,046.18 = 40,412.50 : x
  2. Step 2: Convert to fraction form
    73,946.50/102,046.18 = 40,412.50/x
  3. Step 3: Cross multiply
    73,946.50x = 102,046.18 × 40,412.50
  4. Step 4: Simplify right side
    73,946.50x = 4,123,941,249.25
  5. Step 5: Solve for x
    x = 4,123,941,249.25/73,946.50
  6. Step 6: Final answer
    x = 55,769.26

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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.