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Finding the Fourth Proportional to 57,308.47, 79,086.38 and 31,815.34

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Solution

The fourth proportional to 57,308.47, 79,086.38 and 31,815.34 is: 43,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,308.47 : 79,086.38 = 31,815.34 : x
  2. Step 2: Convert to fraction form
    57,308.47/79,086.38 = 31,815.34/x
  3. Step 3: Cross multiply
    57,308.47x = 79,086.38 × 31,815.34
  4. Step 4: Simplify right side
    57,308.47x = 2,516,159,712.28
  5. Step 5: Solve for x
    x = 2,516,159,712.28/57,308.47
  6. Step 6: Final answer
    x = 43,905.55

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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.