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Finding the Fourth Proportional to 57,787.50, 79,746.75 and 31,291.50

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Solution

The fourth proportional to 57,787.50, 79,746.75 and 31,291.50 is: 43,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.50 : 79,746.75 = 31,291.50 : x
  2. Step 2: Convert to fraction form
    57,787.50/79,746.75 = 31,291.50/x
  3. Step 3: Cross multiply
    57,787.50x = 79,746.75 × 31,291.50
  4. Step 4: Simplify right side
    57,787.50x = 2,495,395,427.63
  5. Step 5: Solve for x
    x = 2,495,395,427.63/57,787.50
  6. Step 6: Final answer
    x = 43,182.27

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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.