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Finding the Fourth Proportional to 38,485.83, 53,101.07 and 22,567.21

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Solution

The fourth proportional to 38,485.83, 53,101.07 and 22,567.21 is: 31,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.83 : 53,101.07 = 22,567.21 : x
  2. Step 2: Convert to fraction form
    38,485.83/53,101.07 = 22,567.21/x
  3. Step 3: Cross multiply
    38,485.83x = 53,101.07 × 22,567.21
  4. Step 4: Simplify right side
    38,485.83x = 1,198,342,836.95
  5. Step 5: Solve for x
    x = 1,198,342,836.95/38,485.83
  6. Step 6: Final answer
    x = 31,137.25

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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.