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Finding the Fourth Proportional to 47,502.41, 65,552.82 and 26,281.82

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Solution

The fourth proportional to 47,502.41, 65,552.82 and 26,281.82 is: 36,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502.41 : 65,552.82 = 26,281.82 : x
  2. Step 2: Convert to fraction form
    47,502.41/65,552.82 = 26,281.82/x
  3. Step 3: Cross multiply
    47,502.41x = 65,552.82 × 26,281.82
  4. Step 4: Simplify right side
    47,502.41x = 1,722,847,415.73
  5. Step 5: Solve for x
    x = 1,722,847,415.73/47,502.41
  6. Step 6: Final answer
    x = 36,268.63

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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.