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Finding the Fourth Proportional to 114,530.92, 171,794.26 and 47,048.64

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Solution

The fourth proportional to 114,530.92, 171,794.26 and 47,048.64 is: 70,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530.92 : 171,794.26 = 47,048.64 : x
  2. Step 2: Convert to fraction form
    114,530.92/171,794.26 = 47,048.64/x
  3. Step 3: Cross multiply
    114,530.92x = 171,794.26 × 47,048.64
  4. Step 4: Simplify right side
    114,530.92x = 8,082,686,292.81
  5. Step 5: Solve for x
    x = 8,082,686,292.81/114,530.92
  6. Step 6: Final answer
    x = 70,572.09

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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.