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Finding the Fourth Proportional to 52,859.07, 72,983.78 and 34,029

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Solution

The fourth proportional to 52,859.07, 72,983.78 and 34,029 is: 46,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859.07 : 72,983.78 = 34,029 : x
  2. Step 2: Convert to fraction form
    52,859.07/72,983.78 = 34,029/x
  3. Step 3: Cross multiply
    52,859.07x = 72,983.78 × 34,029
  4. Step 4: Simplify right side
    52,859.07x = 2,483,564,879.48
  5. Step 5: Solve for x
    x = 2,483,564,879.48/52,859.07
  6. Step 6: Final answer
    x = 46,984.65

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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.