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Finding the Fourth Proportional to 32,160.68, 48,223.74 and 11,381.48

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Solution

The fourth proportional to 32,160.68, 48,223.74 and 11,381.48 is: 17,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.68 : 48,223.74 = 11,381.48 : x
  2. Step 2: Convert to fraction form
    32,160.68/48,223.74 = 11,381.48/x
  3. Step 3: Cross multiply
    32,160.68x = 48,223.74 × 11,381.48
  4. Step 4: Simplify right side
    32,160.68x = 548,857,532.34
  5. Step 5: Solve for x
    x = 548,857,532.34/32,160.68
  6. Step 6: Final answer
    x = 17,066.10

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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.