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Finding the Fourth Proportional to 52,178.68, 72,013.08 and 34,288.48

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Solution

The fourth proportional to 52,178.68, 72,013.08 and 34,288.48 is: 47,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178.68 : 72,013.08 = 34,288.48 : x
  2. Step 2: Convert to fraction form
    52,178.68/72,013.08 = 34,288.48/x
  3. Step 3: Cross multiply
    52,178.68x = 72,013.08 × 34,288.48
  4. Step 4: Simplify right side
    52,178.68x = 2,469,219,053.32
  5. Step 5: Solve for x
    x = 2,469,219,053.32/52,178.68
  6. Step 6: Final answer
    x = 47,322.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.