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Finding the Fourth Proportional to 32,289, 48,435.30 and 11,512.50

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Solution

The fourth proportional to 32,289, 48,435.30 and 11,512.50 is: 17,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289 : 48,435.30 = 11,512.50 : x
  2. Step 2: Convert to fraction form
    32,289/48,435.30 = 11,512.50/x
  3. Step 3: Cross multiply
    32,289x = 48,435.30 × 11,512.50
  4. Step 4: Simplify right side
    32,289x = 557,611,391.25
  5. Step 5: Solve for x
    x = 557,611,391.25/32,289
  6. Step 6: Final answer
    x = 17,269.39

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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.