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Finding the Fourth Proportional to 38,776.25, 53,509.82 and 23,694.15

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Solution

The fourth proportional to 38,776.25, 53,509.82 and 23,694.15 is: 32,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776.25 : 53,509.82 = 23,694.15 : x
  2. Step 2: Convert to fraction form
    38,776.25/53,509.82 = 23,694.15/x
  3. Step 3: Cross multiply
    38,776.25x = 53,509.82 × 23,694.15
  4. Step 4: Simplify right side
    38,776.25x = 1,267,869,783.74
  5. Step 5: Solve for x
    x = 1,267,869,783.74/38,776.25
  6. Step 6: Final answer
    x = 32,697.07

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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.