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Finding the Fourth Proportional to 70,512.98, 105,759.08 and 23,133.08

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Solution

The fourth proportional to 70,512.98, 105,759.08 and 23,133.08 is: 34,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.98 : 105,759.08 = 23,133.08 : x
  2. Step 2: Convert to fraction form
    70,512.98/105,759.08 = 23,133.08/x
  3. Step 3: Cross multiply
    70,512.98x = 105,759.08 × 23,133.08
  4. Step 4: Simplify right side
    70,512.98x = 2,446,532,613.91
  5. Step 5: Solve for x
    x = 2,446,532,613.91/70,512.98
  6. Step 6: Final answer
    x = 34,696.20

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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.