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Finding the Fourth Proportional to 78,333.50, 117,513.62 and 30,923.79

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Solution

The fourth proportional to 78,333.50, 117,513.62 and 30,923.79 is: 46,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,333.50 : 117,513.62 = 30,923.79 : x
  2. Step 2: Convert to fraction form
    78,333.50/117,513.62 = 30,923.79/x
  3. Step 3: Cross multiply
    78,333.50x = 117,513.62 × 30,923.79
  4. Step 4: Simplify right side
    78,333.50x = 3,633,966,352.40
  5. Step 5: Solve for x
    x = 3,633,966,352.40/78,333.50
  6. Step 6: Final answer
    x = 46,390.96

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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.