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Finding the Fourth Proportional to 42,782.56, 59,040.06 and 23,919.68

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Solution

The fourth proportional to 42,782.56, 59,040.06 and 23,919.68 is: 33,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782.56 : 59,040.06 = 23,919.68 : x
  2. Step 2: Convert to fraction form
    42,782.56/59,040.06 = 23,919.68/x
  3. Step 3: Cross multiply
    42,782.56x = 59,040.06 × 23,919.68
  4. Step 4: Simplify right side
    42,782.56x = 1,412,219,342.38
  5. Step 5: Solve for x
    x = 1,412,219,342.38/42,782.56
  6. Step 6: Final answer
    x = 33,009.23

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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.