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Finding the Fourth Proportional to 67,461.30, 93,102.21 and 37,249.38

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Solution

The fourth proportional to 67,461.30, 93,102.21 and 37,249.38 is: 51,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,461.30 : 93,102.21 = 37,249.38 : x
  2. Step 2: Convert to fraction form
    67,461.30/93,102.21 = 37,249.38/x
  3. Step 3: Cross multiply
    67,461.30x = 93,102.21 × 37,249.38
  4. Step 4: Simplify right side
    67,461.30x = 3,467,999,599.13
  5. Step 5: Solve for x
    x = 3,467,999,599.13/67,461.30
  6. Step 6: Final answer
    x = 51,407.25

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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.