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Finding the Fourth Proportional to 32,015.50, 48,023.52 and 11,239

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Solution

The fourth proportional to 32,015.50, 48,023.52 and 11,239 is: 16,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.50 : 48,023.52 = 11,239 : x
  2. Step 2: Convert to fraction form
    32,015.50/48,023.52 = 11,239/x
  3. Step 3: Cross multiply
    32,015.50x = 48,023.52 × 11,239
  4. Step 4: Simplify right side
    32,015.50x = 539,736,341.28
  5. Step 5: Solve for x
    x = 539,736,341.28/32,015.50
  6. Step 6: Final answer
    x = 16,858.59

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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.