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Finding the Fourth Proportional to 70,388.48, 105,584.13 and 23,003.78

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Solution

The fourth proportional to 70,388.48, 105,584.13 and 23,003.78 is: 34,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388.48 : 105,584.13 = 23,003.78 : x
  2. Step 2: Convert to fraction form
    70,388.48/105,584.13 = 23,003.78/x
  3. Step 3: Cross multiply
    70,388.48x = 105,584.13 × 23,003.78
  4. Step 4: Simplify right side
    70,388.48x = 2,428,833,570.09
  5. Step 5: Solve for x
    x = 2,428,833,570.09/70,388.48
  6. Step 6: Final answer
    x = 34,506.13

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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.