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Finding the Fourth Proportional to 38,201.83, 52,718.06 and 21,206.20

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Solution

The fourth proportional to 38,201.83, 52,718.06 and 21,206.20 is: 29,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.83 : 52,718.06 = 21,206.20 : x
  2. Step 2: Convert to fraction form
    38,201.83/52,718.06 = 21,206.20/x
  3. Step 3: Cross multiply
    38,201.83x = 52,718.06 × 21,206.20
  4. Step 4: Simplify right side
    38,201.83x = 1,117,949,749.74
  5. Step 5: Solve for x
    x = 1,117,949,749.74/38,201.83
  6. Step 6: Final answer
    x = 29,264.30

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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.