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Finding the Fourth Proportional to 57,102.30, 78,787.89 and 33,215.40

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Solution

The fourth proportional to 57,102.30, 78,787.89 and 33,215.40 is: 45,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.30 : 78,787.89 = 33,215.40 : x
  2. Step 2: Convert to fraction form
    57,102.30/78,787.89 = 33,215.40/x
  3. Step 3: Cross multiply
    57,102.30x = 78,787.89 × 33,215.40
  4. Step 4: Simplify right side
    57,102.30x = 2,616,971,281.51
  5. Step 5: Solve for x
    x = 2,616,971,281.51/57,102.30
  6. Step 6: Final answer
    x = 45,829.52

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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.