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Finding the Fourth Proportional to 70,643.10, 105,898.77 and 23,863.26

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Solution

The fourth proportional to 70,643.10, 105,898.77 and 23,863.26 is: 35,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,643.10 : 105,898.77 = 23,863.26 : x
  2. Step 2: Convert to fraction form
    70,643.10/105,898.77 = 23,863.26/x
  3. Step 3: Cross multiply
    70,643.10x = 105,898.77 × 23,863.26
  4. Step 4: Simplify right side
    70,643.10x = 2,527,089,882.19
  5. Step 5: Solve for x
    x = 2,527,089,882.19/70,643.10
  6. Step 6: Final answer
    x = 35,772.64

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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.