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Finding the Fourth Proportional to 27,058.82, 40,582.83 and 10,188.50

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Solution

The fourth proportional to 27,058.82, 40,582.83 and 10,188.50 is: 15,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.82 : 40,582.83 = 10,188.50 : x
  2. Step 2: Convert to fraction form
    27,058.82/40,582.83 = 10,188.50/x
  3. Step 3: Cross multiply
    27,058.82x = 40,582.83 × 10,188.50
  4. Step 4: Simplify right side
    27,058.82x = 413,478,163.46
  5. Step 5: Solve for x
    x = 413,478,163.46/27,058.82
  6. Step 6: Final answer
    x = 15,280.72

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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.