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Finding the Fourth Proportional to 38,830.64, 53,515.22 and 28,201.82

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Solution

The fourth proportional to 38,830.64, 53,515.22 and 28,201.82 is: 38,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830.64 : 53,515.22 = 28,201.82 : x
  2. Step 2: Convert to fraction form
    38,830.64/53,515.22 = 28,201.82/x
  3. Step 3: Cross multiply
    38,830.64x = 53,515.22 × 28,201.82
  4. Step 4: Simplify right side
    38,830.64x = 1,509,226,601.70
  5. Step 5: Solve for x
    x = 1,509,226,601.70/38,830.64
  6. Step 6: Final answer
    x = 38,866.90

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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.