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Finding the Fourth Proportional to 31,549.40, 47,283.90 and 16,765.40

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Solution

The fourth proportional to 31,549.40, 47,283.90 and 16,765.40 is: 25,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.40 : 47,283.90 = 16,765.40 : x
  2. Step 2: Convert to fraction form
    31,549.40/47,283.90 = 16,765.40/x
  3. Step 3: Cross multiply
    31,549.40x = 47,283.90 × 16,765.40
  4. Step 4: Simplify right side
    31,549.40x = 792,733,497.06
  5. Step 5: Solve for x
    x = 792,733,497.06/31,549.40
  6. Step 6: Final answer
    x = 25,126.74

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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.