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Finding the Fourth Proportional to 78,367.50, 117,436.02 and 46,313.58

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Solution

The fourth proportional to 78,367.50, 117,436.02 and 46,313.58 is: 69,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 117,436.02 = 46,313.58 : x
  2. Step 2: Convert to fraction form
    78,367.50/117,436.02 = 46,313.58/x
  3. Step 3: Cross multiply
    78,367.50x = 117,436.02 × 46,313.58
  4. Step 4: Simplify right side
    78,367.50x = 5,438,882,507.15
  5. Step 5: Solve for x
    x = 5,438,882,507.15/78,367.50
  6. Step 6: Final answer
    x = 69,402.27

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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.