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Finding the Fourth Proportional to 32,951.90, 49,415.70 and 16,306.40

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Solution

The fourth proportional to 32,951.90, 49,415.70 and 16,306.40 is: 24,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.90 : 49,415.70 = 16,306.40 : x
  2. Step 2: Convert to fraction form
    32,951.90/49,415.70 = 16,306.40/x
  3. Step 3: Cross multiply
    32,951.90x = 49,415.70 × 16,306.40
  4. Step 4: Simplify right side
    32,951.90x = 805,792,170.48
  5. Step 5: Solve for x
    x = 805,792,170.48/32,951.90
  6. Step 6: Final answer
    x = 24,453.59

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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.