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Finding the Fourth Proportional to 38,794.60, 53,530.10 and 22,876.84

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Solution

The fourth proportional to 38,794.60, 53,530.10 and 22,876.84 is: 31,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.60 : 53,530.10 = 22,876.84 : x
  2. Step 2: Convert to fraction form
    38,794.60/53,530.10 = 22,876.84/x
  3. Step 3: Cross multiply
    38,794.60x = 53,530.10 × 22,876.84
  4. Step 4: Simplify right side
    38,794.60x = 1,224,599,532.88
  5. Step 5: Solve for x
    x = 1,224,599,532.88/38,794.60
  6. Step 6: Final answer
    x = 31,566.24

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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.