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Finding the Fourth Proportional to 70,507.78, 105,719.06 and 33,076.06

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Solution

The fourth proportional to 70,507.78, 105,719.06 and 33,076.06 is: 49,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.78 : 105,719.06 = 33,076.06 : x
  2. Step 2: Convert to fraction form
    70,507.78/105,719.06 = 33,076.06/x
  3. Step 3: Cross multiply
    70,507.78x = 105,719.06 × 33,076.06
  4. Step 4: Simplify right side
    70,507.78x = 3,496,769,971.70
  5. Step 5: Solve for x
    x = 3,496,769,971.70/70,507.78
  6. Step 6: Final answer
    x = 49,594.10

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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.