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Finding the Fourth Proportional to 42,991.51, 59,328.87 and 23,612

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Solution

The fourth proportional to 42,991.51, 59,328.87 and 23,612 is: 32,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,991.51 : 59,328.87 = 23,612 : x
  2. Step 2: Convert to fraction form
    42,991.51/59,328.87 = 23,612/x
  3. Step 3: Cross multiply
    42,991.51x = 59,328.87 × 23,612
  4. Step 4: Simplify right side
    42,991.51x = 1,400,873,278.44
  5. Step 5: Solve for x
    x = 1,400,873,278.44/42,991.51
  6. Step 6: Final answer
    x = 32,584.88

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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.