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Finding the Fourth Proportional to 48,602.70, 67,057.74 and 31,631.91

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Solution

The fourth proportional to 48,602.70, 67,057.74 and 31,631.91 is: 43,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602.70 : 67,057.74 = 31,631.91 : x
  2. Step 2: Convert to fraction form
    48,602.70/67,057.74 = 31,631.91/x
  3. Step 3: Cross multiply
    48,602.70x = 67,057.74 × 31,631.91
  4. Step 4: Simplify right side
    48,602.70x = 2,121,164,396.48
  5. Step 5: Solve for x
    x = 2,121,164,396.48/48,602.70
  6. Step 6: Final answer
    x = 43,642.93

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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.