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Finding the Fourth Proportional to 84,803.28, 127,187.64 and 32,194.32

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Solution

The fourth proportional to 84,803.28, 127,187.64 and 32,194.32 is: 48,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,803.28 : 127,187.64 = 32,194.32 : x
  2. Step 2: Convert to fraction form
    84,803.28/127,187.64 = 32,194.32/x
  3. Step 3: Cross multiply
    84,803.28x = 127,187.64 × 32,194.32
  4. Step 4: Simplify right side
    84,803.28x = 4,094,719,582.20
  5. Step 5: Solve for x
    x = 4,094,719,582.20/84,803.28
  6. Step 6: Final answer
    x = 48,284.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.