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Finding the Fourth Proportional to 77,482.50, 116,224.02 and 22,078.50

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Solution

The fourth proportional to 77,482.50, 116,224.02 and 22,078.50 is: 33,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482.50 : 116,224.02 = 22,078.50 : x
  2. Step 2: Convert to fraction form
    77,482.50/116,224.02 = 22,078.50/x
  3. Step 3: Cross multiply
    77,482.50x = 116,224.02 × 22,078.50
  4. Step 4: Simplify right side
    77,482.50x = 2,566,052,025.57
  5. Step 5: Solve for x
    x = 2,566,052,025.57/77,482.50
  6. Step 6: Final answer
    x = 33,117.83

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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.