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Finding the Fourth Proportional to 32,454.48, 48,682.16 and 11,393.68

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Solution

The fourth proportional to 32,454.48, 48,682.16 and 11,393.68 is: 17,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.48 : 48,682.16 = 11,393.68 : x
  2. Step 2: Convert to fraction form
    32,454.48/48,682.16 = 11,393.68/x
  3. Step 3: Cross multiply
    32,454.48x = 48,682.16 × 11,393.68
  4. Step 4: Simplify right side
    32,454.48x = 554,668,952.75
  5. Step 5: Solve for x
    x = 554,668,952.75/32,454.48
  6. Step 6: Final answer
    x = 17,090.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.