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Finding the Fourth Proportional to 35,944.49, 53,834.72 and 31,740

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Solution

The fourth proportional to 35,944.49, 53,834.72 and 31,740 is: 47,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,944.49 : 53,834.72 = 31,740 : x
  2. Step 2: Convert to fraction form
    35,944.49/53,834.72 = 31,740/x
  3. Step 3: Cross multiply
    35,944.49x = 53,834.72 × 31,740
  4. Step 4: Simplify right side
    35,944.49x = 1,708,713,854.10
  5. Step 5: Solve for x
    x = 1,708,713,854.10/35,944.49
  6. Step 6: Final answer
    x = 47,537.58

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