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Finding the Fourth Proportional to 48,782.86, 67,331.22 and 29,658.59

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Solution

The fourth proportional to 48,782.86, 67,331.22 and 29,658.59 is: 40,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.86 : 67,331.22 = 29,658.59 : x
  2. Step 2: Convert to fraction form
    48,782.86/67,331.22 = 29,658.59/x
  3. Step 3: Cross multiply
    48,782.86x = 67,331.22 × 29,658.59
  4. Step 4: Simplify right side
    48,782.86x = 1,996,949,048.18
  5. Step 5: Solve for x
    x = 1,996,949,048.18/48,782.86
  6. Step 6: Final answer
    x = 40,935.46

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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.