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Finding the Fourth Proportional to 95,072, 142,496.64 and 32,687.36

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Solution

The fourth proportional to 95,072, 142,496.64 and 32,687.36 is: 48,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,072 : 142,496.64 = 32,687.36 : x
  2. Step 2: Convert to fraction form
    95,072/142,496.64 = 32,687.36/x
  3. Step 3: Cross multiply
    95,072x = 142,496.64 × 32,687.36
  4. Step 4: Simplify right side
    95,072x = 4,657,838,970.47
  5. Step 5: Solve for x
    x = 4,657,838,970.47/95,072
  6. Step 6: Final answer
    x = 48,992.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.