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Finding the Fourth Proportional to 70,637.75, 105,944.84 and 23,253.36

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Solution

The fourth proportional to 70,637.75, 105,944.84 and 23,253.36 is: 34,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,637.75 : 105,944.84 = 23,253.36 : x
  2. Step 2: Convert to fraction form
    70,637.75/105,944.84 = 23,253.36/x
  3. Step 3: Cross multiply
    70,637.75x = 105,944.84 × 23,253.36
  4. Step 4: Simplify right side
    70,637.75x = 2,463,573,078.30
  5. Step 5: Solve for x
    x = 2,463,573,078.30/70,637.75
  6. Step 6: Final answer
    x = 34,876.16

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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.