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Finding the Fourth Proportional to 32,539.14, 48,808.71 and 9,165.54

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Solution

The fourth proportional to 32,539.14, 48,808.71 and 9,165.54 is: 13,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,539.14 : 48,808.71 = 9,165.54 : x
  2. Step 2: Convert to fraction form
    32,539.14/48,808.71 = 9,165.54/x
  3. Step 3: Cross multiply
    32,539.14x = 48,808.71 × 9,165.54
  4. Step 4: Simplify right side
    32,539.14x = 447,358,183.85
  5. Step 5: Solve for x
    x = 447,358,183.85/32,539.14
  6. Step 6: Final answer
    x = 13,748.31

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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.