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Finding the Fourth Proportional to 32,051.61, 48,081.97 and 9,866.82

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Solution

The fourth proportional to 32,051.61, 48,081.97 and 9,866.82 is: 14,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.61 : 48,081.97 = 9,866.82 : x
  2. Step 2: Convert to fraction form
    32,051.61/48,081.97 = 9,866.82/x
  3. Step 3: Cross multiply
    32,051.61x = 48,081.97 × 9,866.82
  4. Step 4: Simplify right side
    32,051.61x = 474,416,143.24
  5. Step 5: Solve for x
    x = 474,416,143.24/32,051.61
  6. Step 6: Final answer
    x = 14,801.63

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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.