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Finding the Fourth Proportional to 58,708, 88,074.96 and 21,772

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Solution

The fourth proportional to 58,708, 88,074.96 and 21,772 is: 32,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,708 : 88,074.96 = 21,772 : x
  2. Step 2: Convert to fraction form
    58,708/88,074.96 = 21,772/x
  3. Step 3: Cross multiply
    58,708x = 88,074.96 × 21,772
  4. Step 4: Simplify right side
    58,708x = 1,917,568,029.12
  5. Step 5: Solve for x
    x = 1,917,568,029.12/58,708
  6. Step 6: Final answer
    x = 32,662.81

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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.