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Finding the Fourth Proportional to 35,829.68, 53,806.88 and 33,013.24

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Solution

The fourth proportional to 35,829.68, 53,806.88 and 33,013.24 is: 49,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829.68 : 53,806.88 = 33,013.24 : x
  2. Step 2: Convert to fraction form
    35,829.68/53,806.88 = 33,013.24/x
  3. Step 3: Cross multiply
    35,829.68x = 53,806.88 × 33,013.24
  4. Step 4: Simplify right side
    35,829.68x = 1,776,339,391.11
  5. Step 5: Solve for x
    x = 1,776,339,391.11/35,829.68
  6. Step 6: Final answer
    x = 49,577.32

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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.