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Finding the Fourth Proportional to 35,538.57, 53,305.70 and 10,578.69

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Solution

The fourth proportional to 35,538.57, 53,305.70 and 10,578.69 is: 15,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538.57 : 53,305.70 = 10,578.69 : x
  2. Step 2: Convert to fraction form
    35,538.57/53,305.70 = 10,578.69/x
  3. Step 3: Cross multiply
    35,538.57x = 53,305.70 × 10,578.69
  4. Step 4: Simplify right side
    35,538.57x = 563,904,422.64
  5. Step 5: Solve for x
    x = 563,904,422.64/35,538.57
  6. Step 6: Final answer
    x = 15,867.39

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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.