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Finding the Fourth Proportional to 58,121.88, 80,178.54 and 37,990.50

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Solution

The fourth proportional to 58,121.88, 80,178.54 and 37,990.50 is: 52,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,121.88 : 80,178.54 = 37,990.50 : x
  2. Step 2: Convert to fraction form
    58,121.88/80,178.54 = 37,990.50/x
  3. Step 3: Cross multiply
    58,121.88x = 80,178.54 × 37,990.50
  4. Step 4: Simplify right side
    58,121.88x = 3,046,022,823.87
  5. Step 5: Solve for x
    x = 3,046,022,823.87/58,121.88
  6. Step 6: Final answer
    x = 52,407.51

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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.