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Finding the Fourth Proportional to 32,497.22, 48,745.84 and 11,720.72

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Solution

The fourth proportional to 32,497.22, 48,745.84 and 11,720.72 is: 17,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.22 : 48,745.84 = 11,720.72 : x
  2. Step 2: Convert to fraction form
    32,497.22/48,745.84 = 11,720.72/x
  3. Step 3: Cross multiply
    32,497.22x = 48,745.84 × 11,720.72
  4. Step 4: Simplify right side
    32,497.22x = 571,336,341.80
  5. Step 5: Solve for x
    x = 571,336,341.80/32,497.22
  6. Step 6: Final answer
    x = 17,581.08

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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.