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Finding the Fourth Proportional to 38,342.32, 52,911.99 and 21,346.30

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Solution

The fourth proportional to 38,342.32, 52,911.99 and 21,346.30 is: 29,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.32 : 52,911.99 = 21,346.30 : x
  2. Step 2: Convert to fraction form
    38,342.32/52,911.99 = 21,346.30/x
  3. Step 3: Cross multiply
    38,342.32x = 52,911.99 × 21,346.30
  4. Step 4: Simplify right side
    38,342.32x = 1,129,475,212.14
  5. Step 5: Solve for x
    x = 1,129,475,212.14/38,342.32
  6. Step 6: Final answer
    x = 29,457.66

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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.