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Finding the Fourth Proportional to 78,004.10, 117,006.15 and 55,769.60

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Solution

The fourth proportional to 78,004.10, 117,006.15 and 55,769.60 is: 83,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.10 : 117,006.15 = 55,769.60 : x
  2. Step 2: Convert to fraction form
    78,004.10/117,006.15 = 55,769.60/x
  3. Step 3: Cross multiply
    78,004.10x = 117,006.15 × 55,769.60
  4. Step 4: Simplify right side
    78,004.10x = 6,525,386,183.04
  5. Step 5: Solve for x
    x = 6,525,386,183.04/78,004.10
  6. Step 6: Final answer
    x = 83,654.40

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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.