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Finding the Fourth Proportional to 38,102.69, 52,607.39 and 23,784.32

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Solution

The fourth proportional to 38,102.69, 52,607.39 and 23,784.32 is: 32,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.69 : 52,607.39 = 23,784.32 : x
  2. Step 2: Convert to fraction form
    38,102.69/52,607.39 = 23,784.32/x
  3. Step 3: Cross multiply
    38,102.69x = 52,607.39 × 23,784.32
  4. Step 4: Simplify right side
    38,102.69x = 1,251,230,998.12
  5. Step 5: Solve for x
    x = 1,251,230,998.12/38,102.69
  6. Step 6: Final answer
    x = 32,838.39

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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.