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Finding the Fourth Proportional to 38,669.32, 53,363.64 and 21,902.32

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Solution

The fourth proportional to 38,669.32, 53,363.64 and 21,902.32 is: 30,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,669.32 : 53,363.64 = 21,902.32 : x
  2. Step 2: Convert to fraction form
    38,669.32/53,363.64 = 21,902.32/x
  3. Step 3: Cross multiply
    38,669.32x = 53,363.64 × 21,902.32
  4. Step 4: Simplify right side
    38,669.32x = 1,168,787,519.64
  5. Step 5: Solve for x
    x = 1,168,787,519.64/38,669.32
  6. Step 6: Final answer
    x = 30,225.19

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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.