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Finding the Fourth Proportional to 31,511.88, 47,264.94 and 9,623.88

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Solution

The fourth proportional to 31,511.88, 47,264.94 and 9,623.88 is: 14,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.88 : 47,264.94 = 9,623.88 : x
  2. Step 2: Convert to fraction form
    31,511.88/47,264.94 = 9,623.88/x
  3. Step 3: Cross multiply
    31,511.88x = 47,264.94 × 9,623.88
  4. Step 4: Simplify right side
    31,511.88x = 454,872,110.77
  5. Step 5: Solve for x
    x = 454,872,110.77/31,511.88
  6. Step 6: Final answer
    x = 14,434.94

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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.