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Finding the Fourth Proportional to 97,990.50, 146,986.47 and 24,118.50

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Solution

The fourth proportional to 97,990.50, 146,986.47 and 24,118.50 is: 36,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,990.50 : 146,986.47 = 24,118.50 : x
  2. Step 2: Convert to fraction form
    97,990.50/146,986.47 = 24,118.50/x
  3. Step 3: Cross multiply
    97,990.50x = 146,986.47 × 24,118.50
  4. Step 4: Simplify right side
    97,990.50x = 3,545,093,176.70
  5. Step 5: Solve for x
    x = 3,545,093,176.70/97,990.50
  6. Step 6: Final answer
    x = 36,177.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.