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Finding the Fourth Proportional to 32,997.54, 49,498.74 and 9,624.60

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Solution

The fourth proportional to 32,997.54, 49,498.74 and 9,624.60 is: 14,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.54 : 49,498.74 = 9,624.60 : x
  2. Step 2: Convert to fraction form
    32,997.54/49,498.74 = 9,624.60/x
  3. Step 3: Cross multiply
    32,997.54x = 49,498.74 × 9,624.60
  4. Step 4: Simplify right side
    32,997.54x = 476,405,573.00
  5. Step 5: Solve for x
    x = 476,405,573.00/32,997.54
  6. Step 6: Final answer
    x = 14,437.61

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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.