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Finding the Fourth Proportional to 38,509.77, 53,143.89 and 22,594.48

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Solution

The fourth proportional to 38,509.77, 53,143.89 and 22,594.48 is: 31,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.77 : 53,143.89 = 22,594.48 : x
  2. Step 2: Convert to fraction form
    38,509.77/53,143.89 = 22,594.48/x
  3. Step 3: Cross multiply
    38,509.77x = 53,143.89 × 22,594.48
  4. Step 4: Simplify right side
    38,509.77x = 1,200,758,559.73
  5. Step 5: Solve for x
    x = 1,200,758,559.73/38,509.77
  6. Step 6: Final answer
    x = 31,180.62

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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.