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Finding the Fourth Proportional to 32,603.52, 48,907.20 and 9,228

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Solution

The fourth proportional to 32,603.52, 48,907.20 and 9,228 is: 13,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.52 : 48,907.20 = 9,228 : x
  2. Step 2: Convert to fraction form
    32,603.52/48,907.20 = 9,228/x
  3. Step 3: Cross multiply
    32,603.52x = 48,907.20 × 9,228
  4. Step 4: Simplify right side
    32,603.52x = 451,315,641.60
  5. Step 5: Solve for x
    x = 451,315,641.60/32,603.52
  6. Step 6: Final answer
    x = 13,842.54

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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.