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Finding the Fourth Proportional to 73,462.16, 101,375.70 and 41,641.32

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Solution

The fourth proportional to 73,462.16, 101,375.70 and 41,641.32 is: 57,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,462.16 : 101,375.70 = 41,641.32 : x
  2. Step 2: Convert to fraction form
    73,462.16/101,375.70 = 41,641.32/x
  3. Step 3: Cross multiply
    73,462.16x = 101,375.70 × 41,641.32
  4. Step 4: Simplify right side
    73,462.16x = 4,221,417,963.92
  5. Step 5: Solve for x
    x = 4,221,417,963.92/73,462.16
  6. Step 6: Final answer
    x = 57,463.84

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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.