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Finding the Fourth Proportional to 73,004.43, 109,506 and 23,084.57

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Solution

The fourth proportional to 73,004.43, 109,506 and 23,084.57 is: 34,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,004.43 : 109,506 = 23,084.57 : x
  2. Step 2: Convert to fraction form
    73,004.43/109,506 = 23,084.57/x
  3. Step 3: Cross multiply
    73,004.43x = 109,506 × 23,084.57
  4. Step 4: Simplify right side
    73,004.43x = 2,527,898,374.89
  5. Step 5: Solve for x
    x = 2,527,898,374.89/73,004.43
  6. Step 6: Final answer
    x = 34,626.64

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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.