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Finding the Fourth Proportional to 114,434.52, 171,652.74 and 47,003.64

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Solution

The fourth proportional to 114,434.52, 171,652.74 and 47,003.64 is: 70,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,434.52 : 171,652.74 = 47,003.64 : x
  2. Step 2: Convert to fraction form
    114,434.52/171,652.74 = 47,003.64/x
  3. Step 3: Cross multiply
    114,434.52x = 171,652.74 × 47,003.64
  4. Step 4: Simplify right side
    114,434.52x = 8,068,303,595.97
  5. Step 5: Solve for x
    x = 8,068,303,595.97/114,434.52
  6. Step 6: Final answer
    x = 70,505.85

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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.