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Finding the Fourth Proportional to 38,181.32, 52,681.86 and 36,922.76

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Solution

The fourth proportional to 38,181.32, 52,681.86 and 36,922.76 is: 50,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,181.32 : 52,681.86 = 36,922.76 : x
  2. Step 2: Convert to fraction form
    38,181.32/52,681.86 = 36,922.76/x
  3. Step 3: Cross multiply
    38,181.32x = 52,681.86 × 36,922.76
  4. Step 4: Simplify right side
    38,181.32x = 1,945,159,673.13
  5. Step 5: Solve for x
    x = 1,945,159,673.13/38,181.32
  6. Step 6: Final answer
    x = 50,945.32

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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.