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Finding the Fourth Proportional to 73,762.32, 110,661.72 and 21,175.92

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Solution

The fourth proportional to 73,762.32, 110,661.72 and 21,175.92 is: 31,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,762.32 : 110,661.72 = 21,175.92 : x
  2. Step 2: Convert to fraction form
    73,762.32/110,661.72 = 21,175.92/x
  3. Step 3: Cross multiply
    73,762.32x = 110,661.72 × 21,175.92
  4. Step 4: Simplify right side
    73,762.32x = 2,343,363,729.78
  5. Step 5: Solve for x
    x = 2,343,363,729.78/73,762.32
  6. Step 6: Final answer
    x = 31,769.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.