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Finding the Fourth Proportional to 78,423.10, 117,568.50 and 34,016.40

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Solution

The fourth proportional to 78,423.10, 117,568.50 and 34,016.40 is: 50,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,423.10 : 117,568.50 = 34,016.40 : x
  2. Step 2: Convert to fraction form
    78,423.10/117,568.50 = 34,016.40/x
  3. Step 3: Cross multiply
    78,423.10x = 117,568.50 × 34,016.40
  4. Step 4: Simplify right side
    78,423.10x = 3,999,257,123.40
  5. Step 5: Solve for x
    x = 3,999,257,123.40/78,423.10
  6. Step 6: Final answer
    x = 50,995.91

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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.