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Finding the Fourth Proportional to 78,004.60, 117,006.90 and 38,638.60

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Solution

The fourth proportional to 78,004.60, 117,006.90 and 38,638.60 is: 57,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.60 : 117,006.90 = 38,638.60 : x
  2. Step 2: Convert to fraction form
    78,004.60/117,006.90 = 38,638.60/x
  3. Step 3: Cross multiply
    78,004.60x = 117,006.90 × 38,638.60
  4. Step 4: Simplify right side
    78,004.60x = 4,520,982,806.34
  5. Step 5: Solve for x
    x = 4,520,982,806.34/78,004.60
  6. Step 6: Final answer
    x = 57,957.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.