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Finding the Fourth Proportional to 35,382.59, 53,065.37 and 10,415.85

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Solution

The fourth proportional to 35,382.59, 53,065.37 and 10,415.85 is: 15,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382.59 : 53,065.37 = 10,415.85 : x
  2. Step 2: Convert to fraction form
    35,382.59/53,065.37 = 10,415.85/x
  3. Step 3: Cross multiply
    35,382.59x = 53,065.37 × 10,415.85
  4. Step 4: Simplify right side
    35,382.59x = 552,720,882.04
  5. Step 5: Solve for x
    x = 552,720,882.04/35,382.59
  6. Step 6: Final answer
    x = 15,621.27

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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.