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Finding the Fourth Proportional to 35,712.50, 53,101.31 and 34,217.71

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Solution

The fourth proportional to 35,712.50, 53,101.31 and 34,217.71 is: 50,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.50 : 53,101.31 = 34,217.71 : x
  2. Step 2: Convert to fraction form
    35,712.50/53,101.31 = 34,217.71/x
  3. Step 3: Cross multiply
    35,712.50x = 53,101.31 × 34,217.71
  4. Step 4: Simplify right side
    35,712.50x = 1,817,004,922.36
  5. Step 5: Solve for x
    x = 1,817,004,922.36/35,712.50
  6. Step 6: Final answer
    x = 50,878.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.