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Finding the Fourth Proportional to 32,483.28, 48,726.82 and 9,111.54

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Solution

The fourth proportional to 32,483.28, 48,726.82 and 9,111.54 is: 13,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.28 : 48,726.82 = 9,111.54 : x
  2. Step 2: Convert to fraction form
    32,483.28/48,726.82 = 9,111.54/x
  3. Step 3: Cross multiply
    32,483.28x = 48,726.82 × 9,111.54
  4. Step 4: Simplify right side
    32,483.28x = 443,976,369.50
  5. Step 5: Solve for x
    x = 443,976,369.50/32,483.28
  6. Step 6: Final answer
    x = 13,667.84

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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.