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Finding the Fourth Proportional to 80,730.64, 121,112.16 and 28,126

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Solution

The fourth proportional to 80,730.64, 121,112.16 and 28,126 is: 42,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730.64 : 121,112.16 = 28,126 : x
  2. Step 2: Convert to fraction form
    80,730.64/121,112.16 = 28,126/x
  3. Step 3: Cross multiply
    80,730.64x = 121,112.16 × 28,126
  4. Step 4: Simplify right side
    80,730.64x = 3,406,400,612.16
  5. Step 5: Solve for x
    x = 3,406,400,612.16/80,730.64
  6. Step 6: Final answer
    x = 42,194.64

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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.