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Finding the Fourth Proportional to 90,724.16, 135,901.92 and 46,856

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Solution

The fourth proportional to 90,724.16, 135,901.92 and 46,856 is: 70,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724.16 : 135,901.92 = 46,856 : x
  2. Step 2: Convert to fraction form
    90,724.16/135,901.92 = 46,856/x
  3. Step 3: Cross multiply
    90,724.16x = 135,901.92 × 46,856
  4. Step 4: Simplify right side
    90,724.16x = 6,367,820,363.52
  5. Step 5: Solve for x
    x = 6,367,820,363.52/90,724.16
  6. Step 6: Final answer
    x = 70,188.80

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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.