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Finding the Fourth Proportional to 78,637.34, 108,520.78 and 42,827.30

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Solution

The fourth proportional to 78,637.34, 108,520.78 and 42,827.30 is: 59,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637.34 : 108,520.78 = 42,827.30 : x
  2. Step 2: Convert to fraction form
    78,637.34/108,520.78 = 42,827.30/x
  3. Step 3: Cross multiply
    78,637.34x = 108,520.78 × 42,827.30
  4. Step 4: Simplify right side
    78,637.34x = 4,647,652,001.29
  5. Step 5: Solve for x
    x = 4,647,652,001.29/78,637.34
  6. Step 6: Final answer
    x = 59,102.36

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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.