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Finding the Fourth Proportional to 57,789, 79,748.82 and 31,293

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Solution

The fourth proportional to 57,789, 79,748.82 and 31,293 is: 43,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,789 : 79,748.82 = 31,293 : x
  2. Step 2: Convert to fraction form
    57,789/79,748.82 = 31,293/x
  3. Step 3: Cross multiply
    57,789x = 79,748.82 × 31,293
  4. Step 4: Simplify right side
    57,789x = 2,495,579,824.26
  5. Step 5: Solve for x
    x = 2,495,579,824.26/57,789
  6. Step 6: Final answer
    x = 43,184.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.