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Finding the Fourth Proportional to 73,858.72, 101,924.40 and 40,324

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Solution

The fourth proportional to 73,858.72, 101,924.40 and 40,324 is: 55,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,858.72 : 101,924.40 = 40,324 : x
  2. Step 2: Convert to fraction form
    73,858.72/101,924.40 = 40,324/x
  3. Step 3: Cross multiply
    73,858.72x = 101,924.40 × 40,324
  4. Step 4: Simplify right side
    73,858.72x = 4,109,999,505.60
  5. Step 5: Solve for x
    x = 4,109,999,505.60/73,858.72
  6. Step 6: Final answer
    x = 55,646.77

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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.