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Finding the Fourth Proportional to 72,948.44, 109,381.62 and 23,019.23

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Solution

The fourth proportional to 72,948.44, 109,381.62 and 23,019.23 is: 34,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948.44 : 109,381.62 = 23,019.23 : x
  2. Step 2: Convert to fraction form
    72,948.44/109,381.62 = 23,019.23/x
  3. Step 3: Cross multiply
    72,948.44x = 109,381.62 × 23,019.23
  4. Step 4: Simplify right side
    72,948.44x = 2,517,880,611.00
  5. Step 5: Solve for x
    x = 2,517,880,611.00/72,948.44
  6. Step 6: Final answer
    x = 34,515.89

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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.