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Finding the Fourth Proportional to 38,567.58, 53,221.23 and 21,799.50

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Solution

The fourth proportional to 38,567.58, 53,221.23 and 21,799.50 is: 30,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567.58 : 53,221.23 = 21,799.50 : x
  2. Step 2: Convert to fraction form
    38,567.58/53,221.23 = 21,799.50/x
  3. Step 3: Cross multiply
    38,567.58x = 53,221.23 × 21,799.50
  4. Step 4: Simplify right side
    38,567.58x = 1,160,196,203.39
  5. Step 5: Solve for x
    x = 1,160,196,203.39/38,567.58
  6. Step 6: Final answer
    x = 30,082.16

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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.