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Finding the Fourth Proportional to 38,933.64, 53,723.04 and 21,935.04

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Solution

The fourth proportional to 38,933.64, 53,723.04 and 21,935.04 is: 30,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,933.64 : 53,723.04 = 21,935.04 : x
  2. Step 2: Convert to fraction form
    38,933.64/53,723.04 = 21,935.04/x
  3. Step 3: Cross multiply
    38,933.64x = 53,723.04 × 21,935.04
  4. Step 4: Simplify right side
    38,933.64x = 1,178,417,031.32
  5. Step 5: Solve for x
    x = 1,178,417,031.32/38,933.64
  6. Step 6: Final answer
    x = 30,267.32

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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.