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Finding the Fourth Proportional to 114,472.63, 171,707.12 and 31,366.63

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Solution

The fourth proportional to 114,472.63, 171,707.12 and 31,366.63 is: 47,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472.63 : 171,707.12 = 31,366.63 : x
  2. Step 2: Convert to fraction form
    114,472.63/171,707.12 = 31,366.63/x
  3. Step 3: Cross multiply
    114,472.63x = 171,707.12 × 31,366.63
  4. Step 4: Simplify right side
    114,472.63x = 5,385,873,701.41
  5. Step 5: Solve for x
    x = 5,385,873,701.41/114,472.63
  6. Step 6: Final answer
    x = 47,049.44

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1.5x scale

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.