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Finding the Fourth Proportional to 31,673.84, 47,535.26 and 15,894.63

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Solution

The fourth proportional to 31,673.84, 47,535.26 and 15,894.63 is: 23,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.84 : 47,535.26 = 15,894.63 : x
  2. Step 2: Convert to fraction form
    31,673.84/47,535.26 = 15,894.63/x
  3. Step 3: Cross multiply
    31,673.84x = 47,535.26 × 15,894.63
  4. Step 4: Simplify right side
    31,673.84x = 755,555,290.18
  5. Step 5: Solve for x
    x = 755,555,290.18/31,673.84
  6. Step 6: Final answer
    x = 23,854.24

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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.