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Finding the Fourth Proportional to 73,586, 101,549.04 and 40,052

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Solution

The fourth proportional to 73,586, 101,549.04 and 40,052 is: 55,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,586 : 101,549.04 = 40,052 : x
  2. Step 2: Convert to fraction form
    73,586/101,549.04 = 40,052/x
  3. Step 3: Cross multiply
    73,586x = 101,549.04 × 40,052
  4. Step 4: Simplify right side
    73,586x = 4,067,242,150.08
  5. Step 5: Solve for x
    x = 4,067,242,150.08/73,586
  6. Step 6: Final answer
    x = 55,271.96

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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.