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Finding the Fourth Proportional to 38,102.01, 52,606.46 and 23,783.65

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Solution

The fourth proportional to 38,102.01, 52,606.46 and 23,783.65 is: 32,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.01 : 52,606.46 = 23,783.65 : x
  2. Step 2: Convert to fraction form
    38,102.01/52,606.46 = 23,783.65/x
  3. Step 3: Cross multiply
    38,102.01x = 52,606.46 × 23,783.65
  4. Step 4: Simplify right side
    38,102.01x = 1,251,173,560.32
  5. Step 5: Solve for x
    x = 1,251,173,560.32/38,102.01
  6. Step 6: Final answer
    x = 32,837.47

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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.