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Finding the Fourth Proportional to 52,814.66, 72,891.15 and 34,006.46

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Solution

The fourth proportional to 52,814.66, 72,891.15 and 34,006.46 is: 46,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814.66 : 72,891.15 = 34,006.46 : x
  2. Step 2: Convert to fraction form
    52,814.66/72,891.15 = 34,006.46/x
  3. Step 3: Cross multiply
    52,814.66x = 72,891.15 × 34,006.46
  4. Step 4: Simplify right side
    52,814.66x = 2,478,769,976.83
  5. Step 5: Solve for x
    x = 2,478,769,976.83/52,814.66
  6. Step 6: Final answer
    x = 46,933.37

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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.