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Finding the Fourth Proportional to 38,967.32, 53,776.14 and 22,201.40

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Solution

The fourth proportional to 38,967.32, 53,776.14 and 22,201.40 is: 30,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.32 : 53,776.14 = 22,201.40 : x
  2. Step 2: Convert to fraction form
    38,967.32/53,776.14 = 22,201.40/x
  3. Step 3: Cross multiply
    38,967.32x = 53,776.14 × 22,201.40
  4. Step 4: Simplify right side
    38,967.32x = 1,193,905,594.60
  5. Step 5: Solve for x
    x = 1,193,905,594.60/38,967.32
  6. Step 6: Final answer
    x = 30,638.64

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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.