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Finding the Fourth Proportional to 49,151.98, 67,808.38 and 31,237.38

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Solution

The fourth proportional to 49,151.98, 67,808.38 and 31,237.38 is: 43,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,151.98 : 67,808.38 = 31,237.38 : x
  2. Step 2: Convert to fraction form
    49,151.98/67,808.38 = 31,237.38/x
  3. Step 3: Cross multiply
    49,151.98x = 67,808.38 × 31,237.38
  4. Step 4: Simplify right side
    49,151.98x = 2,118,156,133.24
  5. Step 5: Solve for x
    x = 2,118,156,133.24/49,151.98
  6. Step 6: Final answer
    x = 43,094.01

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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.