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Finding the Fourth Proportional to 114,609.68, 171,858.02 and 47,129.40

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Solution

The fourth proportional to 114,609.68, 171,858.02 and 47,129.40 is: 70,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,609.68 : 171,858.02 = 47,129.40 : x
  2. Step 2: Convert to fraction form
    114,609.68/171,858.02 = 47,129.40/x
  3. Step 3: Cross multiply
    114,609.68x = 171,858.02 × 47,129.40
  4. Step 4: Simplify right side
    114,609.68x = 8,099,565,367.79
  5. Step 5: Solve for x
    x = 8,099,565,367.79/114,609.68
  6. Step 6: Final answer
    x = 70,670.87

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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.