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Finding the Fourth Proportional to 32,552.95, 48,831.10 and 9,181.21

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Solution

The fourth proportional to 32,552.95, 48,831.10 and 9,181.21 is: 13,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552.95 : 48,831.10 = 9,181.21 : x
  2. Step 2: Convert to fraction form
    32,552.95/48,831.10 = 9,181.21/x
  3. Step 3: Cross multiply
    32,552.95x = 48,831.10 × 9,181.21
  4. Step 4: Simplify right side
    32,552.95x = 448,328,537.72
  5. Step 5: Solve for x
    x = 448,328,537.72/32,552.95
  6. Step 6: Final answer
    x = 13,772.29

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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.