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Finding the Fourth Proportional to 32,553.84, 48,831.96 and 9,180.90

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Solution

The fourth proportional to 32,553.84, 48,831.96 and 9,180.90 is: 13,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.84 : 48,831.96 = 9,180.90 : x
  2. Step 2: Convert to fraction form
    32,553.84/48,831.96 = 9,180.90/x
  3. Step 3: Cross multiply
    32,553.84x = 48,831.96 × 9,180.90
  4. Step 4: Simplify right side
    32,553.84x = 448,321,341.56
  5. Step 5: Solve for x
    x = 448,321,341.56/32,553.84
  6. Step 6: Final answer
    x = 13,771.69

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1.5x scale

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.