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Finding the Fourth Proportional to 38,384, 52,973.81 and 21,391.01

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Solution

The fourth proportional to 38,384, 52,973.81 and 21,391.01 is: 29,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384 : 52,973.81 = 21,391.01 : x
  2. Step 2: Convert to fraction form
    38,384/52,973.81 = 21,391.01/x
  3. Step 3: Cross multiply
    38,384x = 52,973.81 × 21,391.01
  4. Step 4: Simplify right side
    38,384x = 1,133,163,299.45
  5. Step 5: Solve for x
    x = 1,133,163,299.45/38,384
  6. Step 6: Final answer
    x = 29,521.76

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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.