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Finding the Fourth Proportional to 49,187.76, 67,708.48 and 37,230

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Solution

The fourth proportional to 49,187.76, 67,708.48 and 37,230 is: 51,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,187.76 : 67,708.48 = 37,230 : x
  2. Step 2: Convert to fraction form
    49,187.76/67,708.48 = 37,230/x
  3. Step 3: Cross multiply
    49,187.76x = 67,708.48 × 37,230
  4. Step 4: Simplify right side
    49,187.76x = 2,520,786,710.40
  5. Step 5: Solve for x
    x = 2,520,786,710.40/49,187.76
  6. Step 6: Final answer
    x = 51,248.25

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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.