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Finding the Fourth Proportional to 75,231.76, 103,852.89 and 52,659.39

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Solution

The fourth proportional to 75,231.76, 103,852.89 and 52,659.39 is: 72,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231.76 : 103,852.89 = 52,659.39 : x
  2. Step 2: Convert to fraction form
    75,231.76/103,852.89 = 52,659.39/x
  3. Step 3: Cross multiply
    75,231.76x = 103,852.89 × 52,659.39
  4. Step 4: Simplify right side
    75,231.76x = 5,468,829,837.14
  5. Step 5: Solve for x
    x = 5,468,829,837.14/75,231.76
  6. Step 6: Final answer
    x = 72,693.10

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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.