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Finding the Fourth Proportional to 38,111.76, 52,600.74 and 22,205.64

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Solution

The fourth proportional to 38,111.76, 52,600.74 and 22,205.64 is: 30,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,111.76 : 52,600.74 = 22,205.64 : x
  2. Step 2: Convert to fraction form
    38,111.76/52,600.74 = 22,205.64/x
  3. Step 3: Cross multiply
    38,111.76x = 52,600.74 × 22,205.64
  4. Step 4: Simplify right side
    38,111.76x = 1,168,033,096.17
  5. Step 5: Solve for x
    x = 1,168,033,096.17/38,111.76
  6. Step 6: Final answer
    x = 30,647.58

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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.