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Finding the Fourth Proportional to 38,826.14, 53,509.02 and 28,197.32

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Solution

The fourth proportional to 38,826.14, 53,509.02 and 28,197.32 is: 38,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,826.14 : 53,509.02 = 28,197.32 : x
  2. Step 2: Convert to fraction form
    38,826.14/53,509.02 = 28,197.32/x
  3. Step 3: Cross multiply
    38,826.14x = 53,509.02 × 28,197.32
  4. Step 4: Simplify right side
    38,826.14x = 1,508,810,959.83
  5. Step 5: Solve for x
    x = 1,508,810,959.83/38,826.14
  6. Step 6: Final answer
    x = 38,860.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.