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Finding the Fourth Proportional to 32,540.49, 48,804.98 and 9,166.77

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Solution

The fourth proportional to 32,540.49, 48,804.98 and 9,166.77 is: 13,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,540.49 : 48,804.98 = 9,166.77 : x
  2. Step 2: Convert to fraction form
    32,540.49/48,804.98 = 9,166.77/x
  3. Step 3: Cross multiply
    32,540.49x = 48,804.98 × 9,166.77
  4. Step 4: Simplify right side
    32,540.49x = 447,383,980.68
  5. Step 5: Solve for x
    x = 447,383,980.68/32,540.49
  6. Step 6: Final answer
    x = 13,748.53

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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.