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Finding the Fourth Proportional to 42,589.44, 58,772.16 and 23,726.16

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Solution

The fourth proportional to 42,589.44, 58,772.16 and 23,726.16 is: 32,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,589.44 : 58,772.16 = 23,726.16 : x
  2. Step 2: Convert to fraction form
    42,589.44/58,772.16 = 23,726.16/x
  3. Step 3: Cross multiply
    42,589.44x = 58,772.16 × 23,726.16
  4. Step 4: Simplify right side
    42,589.44x = 1,394,437,671.71
  5. Step 5: Solve for x
    x = 1,394,437,671.71/42,589.44
  6. Step 6: Final answer
    x = 32,741.39

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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.