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Finding the Fourth Proportional to 114,570.82, 171,652.89 and 47,864.14

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Solution

The fourth proportional to 114,570.82, 171,652.89 and 47,864.14 is: 71,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,570.82 : 171,652.89 = 47,864.14 : x
  2. Step 2: Convert to fraction form
    114,570.82/171,652.89 = 47,864.14/x
  3. Step 3: Cross multiply
    114,570.82x = 171,652.89 × 47,864.14
  4. Step 4: Simplify right side
    114,570.82x = 8,216,017,958.36
  5. Step 5: Solve for x
    x = 8,216,017,958.36/114,570.82
  6. Step 6: Final answer
    x = 71,711.26

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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.