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Finding the Fourth Proportional to 38,707.32, 53,416.91 and 21,940.32

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Solution

The fourth proportional to 38,707.32, 53,416.91 and 21,940.32 is: 30,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.32 : 53,416.91 = 21,940.32 : x
  2. Step 2: Convert to fraction form
    38,707.32/53,416.91 = 21,940.32/x
  3. Step 3: Cross multiply
    38,707.32x = 53,416.91 × 21,940.32
  4. Step 4: Simplify right side
    38,707.32x = 1,171,983,989.11
  5. Step 5: Solve for x
    x = 1,171,983,989.11/38,707.32
  6. Step 6: Final answer
    x = 30,278.10

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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.