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Finding the Fourth Proportional to 57,787, 79,746.06 and 31,291

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Solution

The fourth proportional to 57,787, 79,746.06 and 31,291 is: 43,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787 : 79,746.06 = 31,291 : x
  2. Step 2: Convert to fraction form
    57,787/79,746.06 = 31,291/x
  3. Step 3: Cross multiply
    57,787x = 79,746.06 × 31,291
  4. Step 4: Simplify right side
    57,787x = 2,495,333,963.46
  5. Step 5: Solve for x
    x = 2,495,333,963.46/57,787
  6. Step 6: Final answer
    x = 43,181.58

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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.