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Finding the Fourth Proportional to 38,985.36, 53,785.80 and 22,208.64

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Solution

The fourth proportional to 38,985.36, 53,785.80 and 22,208.64 is: 30,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,985.36 : 53,785.80 = 22,208.64 : x
  2. Step 2: Convert to fraction form
    38,985.36/53,785.80 = 22,208.64/x
  3. Step 3: Cross multiply
    38,985.36x = 53,785.80 × 22,208.64
  4. Step 4: Simplify right side
    38,985.36x = 1,194,509,469.31
  5. Step 5: Solve for x
    x = 1,194,509,469.31/38,985.36
  6. Step 6: Final answer
    x = 30,639.95

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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.