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Finding the Fourth Proportional to 38,505.16, 57,743.04 and 18,509.12

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Solution

The fourth proportional to 38,505.16, 57,743.04 and 18,509.12 is: 27,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.16 : 57,743.04 = 18,509.12 : x
  2. Step 2: Convert to fraction form
    38,505.16/57,743.04 = 18,509.12/x
  3. Step 3: Cross multiply
    38,505.16x = 57,743.04 × 18,509.12
  4. Step 4: Simplify right side
    38,505.16x = 1,068,772,856.52
  5. Step 5: Solve for x
    x = 1,068,772,856.52/38,505.16
  6. Step 6: Final answer
    x = 27,756.61

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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.