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Finding the Fourth Proportional to 82,726.24, 114,162.48 and 45,000.48

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Solution

The fourth proportional to 82,726.24, 114,162.48 and 45,000.48 is: 62,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,726.24 : 114,162.48 = 45,000.48 : x
  2. Step 2: Convert to fraction form
    82,726.24/114,162.48 = 45,000.48/x
  3. Step 3: Cross multiply
    82,726.24x = 114,162.48 × 45,000.48
  4. Step 4: Simplify right side
    82,726.24x = 5,137,366,397.99
  5. Step 5: Solve for x
    x = 5,137,366,397.99/82,726.24
  6. Step 6: Final answer
    x = 62,100.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.