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Finding the Fourth Proportional to 47,189.70, 70,796.79 and 17,607.75

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Solution

The fourth proportional to 47,189.70, 70,796.79 and 17,607.75 is: 26,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189.70 : 70,796.79 = 17,607.75 : x
  2. Step 2: Convert to fraction form
    47,189.70/70,796.79 = 17,607.75/x
  3. Step 3: Cross multiply
    47,189.70x = 70,796.79 × 17,607.75
  4. Step 4: Simplify right side
    47,189.70x = 1,246,572,179.12
  5. Step 5: Solve for x
    x = 1,246,572,179.12/47,189.70
  6. Step 6: Final answer
    x = 26,416.19

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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.