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Finding the Fourth Proportional to 32,853.86, 49,281.15 and 9,480.50

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Solution

The fourth proportional to 32,853.86, 49,281.15 and 9,480.50 is: 14,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.86 : 49,281.15 = 9,480.50 : x
  2. Step 2: Convert to fraction form
    32,853.86/49,281.15 = 9,480.50/x
  3. Step 3: Cross multiply
    32,853.86x = 49,281.15 × 9,480.50
  4. Step 4: Simplify right side
    32,853.86x = 467,209,942.58
  5. Step 5: Solve for x
    x = 467,209,942.58/32,853.86
  6. Step 6: Final answer
    x = 14,220.85

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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.