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Finding the Fourth Proportional to 32,966, 45,492.32 and 20,224.16

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Solution

The fourth proportional to 32,966, 45,492.32 and 20,224.16 is: 27,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 45,492.32 = 20,224.16 : x
  2. Step 2: Convert to fraction form
    32,966/45,492.32 = 20,224.16/x
  3. Step 3: Cross multiply
    32,966x = 45,492.32 × 20,224.16
  4. Step 4: Simplify right side
    32,966x = 920,043,958.45
  5. Step 5: Solve for x
    x = 920,043,958.45/32,966
  6. Step 6: Final answer
    x = 27,908.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.