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Finding the Fourth Proportional to 31,648.84, 47,472.84 and 9,462.40

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Solution

The fourth proportional to 31,648.84, 47,472.84 and 9,462.40 is: 14,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.84 : 47,472.84 = 9,462.40 : x
  2. Step 2: Convert to fraction form
    31,648.84/47,472.84 = 9,462.40/x
  3. Step 3: Cross multiply
    31,648.84x = 47,472.84 × 9,462.40
  4. Step 4: Simplify right side
    31,648.84x = 449,207,001.22
  5. Step 5: Solve for x
    x = 449,207,001.22/31,648.84
  6. Step 6: Final answer
    x = 14,193.47

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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.