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Finding the Fourth Proportional to 33,281.46, 49,921.23 and 8,657.46

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Solution

The fourth proportional to 33,281.46, 49,921.23 and 8,657.46 is: 12,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,281.46 : 49,921.23 = 8,657.46 : x
  2. Step 2: Convert to fraction form
    33,281.46/49,921.23 = 8,657.46/x
  3. Step 3: Cross multiply
    33,281.46x = 49,921.23 × 8,657.46
  4. Step 4: Simplify right side
    33,281.46x = 432,191,051.88
  5. Step 5: Solve for x
    x = 432,191,051.88/33,281.46
  6. Step 6: Final answer
    x = 12,985.94

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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.