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Finding the Fourth Proportional to 31,956.19, 47,941.31 and 9,465.12

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Solution

The fourth proportional to 31,956.19, 47,941.31 and 9,465.12 is: 14,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.19 : 47,941.31 = 9,465.12 : x
  2. Step 2: Convert to fraction form
    31,956.19/47,941.31 = 9,465.12/x
  3. Step 3: Cross multiply
    31,956.19x = 47,941.31 × 9,465.12
  4. Step 4: Simplify right side
    31,956.19x = 453,770,275.77
  5. Step 5: Solve for x
    x = 453,770,275.77/31,956.19
  6. Step 6: Final answer
    x = 14,199.76

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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.