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Finding the Fourth Proportional to 56,726.76, 85,083.69 and 15,177

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Solution

The fourth proportional to 56,726.76, 85,083.69 and 15,177 is: 22,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,726.76 : 85,083.69 = 15,177 : x
  2. Step 2: Convert to fraction form
    56,726.76/85,083.69 = 15,177/x
  3. Step 3: Cross multiply
    56,726.76x = 85,083.69 × 15,177
  4. Step 4: Simplify right side
    56,726.76x = 1,291,315,163.13
  5. Step 5: Solve for x
    x = 1,291,315,163.13/56,726.76
  6. Step 6: Final answer
    x = 22,763.77

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Why These Related Problems?

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