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Finding the Fourth Proportional to 55,058.14, 82,587.26 and 13,505.14

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Solution

The fourth proportional to 55,058.14, 82,587.26 and 13,505.14 is: 20,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058.14 : 82,587.26 = 13,505.14 : x
  2. Step 2: Convert to fraction form
    55,058.14/82,587.26 = 13,505.14/x
  3. Step 3: Cross multiply
    55,058.14x = 82,587.26 × 13,505.14
  4. Step 4: Simplify right side
    55,058.14x = 1,115,352,508.52
  5. Step 5: Solve for x
    x = 1,115,352,508.52/55,058.14
  6. Step 6: Final answer
    x = 20,257.72

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