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Finding the Fourth Proportional to 78,193.49, 107,906.38 and 46,377.50

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Solution

The fourth proportional to 78,193.49, 107,906.38 and 46,377.50 is: 64,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.49 : 107,906.38 = 46,377.50 : x
  2. Step 2: Convert to fraction form
    78,193.49/107,906.38 = 46,377.50/x
  3. Step 3: Cross multiply
    78,193.49x = 107,906.38 × 46,377.50
  4. Step 4: Simplify right side
    78,193.49x = 5,004,427,482.97
  5. Step 5: Solve for x
    x = 5,004,427,482.97/78,193.49
  6. Step 6: Final answer
    x = 64,000.57

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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.