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Finding the Fourth Proportional to 38,202.71, 52,718.73 and 21,206.45

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Solution

The fourth proportional to 38,202.71, 52,718.73 and 21,206.45 is: 29,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.71 : 52,718.73 = 21,206.45 : x
  2. Step 2: Convert to fraction form
    38,202.71/52,718.73 = 21,206.45/x
  3. Step 3: Cross multiply
    38,202.71x = 52,718.73 × 21,206.45
  4. Step 4: Simplify right side
    38,202.71x = 1,117,976,848.21
  5. Step 5: Solve for x
    x = 1,117,976,848.21/38,202.71
  6. Step 6: Final answer
    x = 29,264.34

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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.