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Finding the Fourth Proportional to 38,462.66, 53,078.82 and 22,333.46

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Solution

The fourth proportional to 38,462.66, 53,078.82 and 22,333.46 is: 30,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.66 : 53,078.82 = 22,333.46 : x
  2. Step 2: Convert to fraction form
    38,462.66/53,078.82 = 22,333.46/x
  3. Step 3: Cross multiply
    38,462.66x = 53,078.82 × 22,333.46
  4. Step 4: Simplify right side
    38,462.66x = 1,185,433,703.32
  5. Step 5: Solve for x
    x = 1,185,433,703.32/38,462.66
  6. Step 6: Final answer
    x = 30,820.38

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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.