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Finding the Fourth Proportional to 38,833.52, 53,519.18 and 28,204.70

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Solution

The fourth proportional to 38,833.52, 53,519.18 and 28,204.70 is: 38,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,833.52 : 53,519.18 = 28,204.70 : x
  2. Step 2: Convert to fraction form
    38,833.52/53,519.18 = 28,204.70/x
  3. Step 3: Cross multiply
    38,833.52x = 53,519.18 × 28,204.70
  4. Step 4: Simplify right side
    38,833.52x = 1,509,492,416.15
  5. Step 5: Solve for x
    x = 1,509,492,416.15/38,833.52
  6. Step 6: Final answer
    x = 38,870.86

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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.