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Finding the Fourth Proportional to 70,337.94, 105,507.10 and 17,747.42

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Solution

The fourth proportional to 70,337.94, 105,507.10 and 17,747.42 is: 26,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,337.94 : 105,507.10 = 17,747.42 : x
  2. Step 2: Convert to fraction form
    70,337.94/105,507.10 = 17,747.42/x
  3. Step 3: Cross multiply
    70,337.94x = 105,507.10 × 17,747.42
  4. Step 4: Simplify right side
    70,337.94x = 1,872,478,816.68
  5. Step 5: Solve for x
    x = 1,872,478,816.68/70,337.94
  6. Step 6: Final answer
    x = 26,621.18

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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.