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Finding the Fourth Proportional to 38,571.92, 53,234.17 and 21,577.10

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Solution

The fourth proportional to 38,571.92, 53,234.17 and 21,577.10 is: 29,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.92 : 53,234.17 = 21,577.10 : x
  2. Step 2: Convert to fraction form
    38,571.92/53,234.17 = 21,577.10/x
  3. Step 3: Cross multiply
    38,571.92x = 53,234.17 × 21,577.10
  4. Step 4: Simplify right side
    38,571.92x = 1,148,639,009.51
  5. Step 5: Solve for x
    x = 1,148,639,009.51/38,571.92
  6. Step 6: Final answer
    x = 29,779.15

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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.