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Finding the Fourth Proportional to 110,859.31, 166,264.62 and 31,956.40

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Solution

The fourth proportional to 110,859.31, 166,264.62 and 31,956.40 is: 47,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859.31 : 166,264.62 = 31,956.40 : x
  2. Step 2: Convert to fraction form
    110,859.31/166,264.62 = 31,956.40/x
  3. Step 3: Cross multiply
    110,859.31x = 166,264.62 × 31,956.40
  4. Step 4: Simplify right side
    110,859.31x = 5,313,218,702.57
  5. Step 5: Solve for x
    x = 5,313,218,702.57/110,859.31
  6. Step 6: Final answer
    x = 47,927.58

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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.