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Finding the Fourth Proportional to 73,644.32, 101,631.84 and 41,812.40

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Solution

The fourth proportional to 73,644.32, 101,631.84 and 41,812.40 is: 57,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,644.32 : 101,631.84 = 41,812.40 : x
  2. Step 2: Convert to fraction form
    73,644.32/101,631.84 = 41,812.40/x
  3. Step 3: Cross multiply
    73,644.32x = 101,631.84 × 41,812.40
  4. Step 4: Simplify right side
    73,644.32x = 4,249,471,146.82
  5. Step 5: Solve for x
    x = 4,249,471,146.82/73,644.32
  6. Step 6: Final answer
    x = 57,702.63

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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.