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Finding the Fourth Proportional to 35,828.04, 53,382.06 and 33,816

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Solution

The fourth proportional to 35,828.04, 53,382.06 and 33,816 is: 50,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,828.04 : 53,382.06 = 33,816 : x
  2. Step 2: Convert to fraction form
    35,828.04/53,382.06 = 33,816/x
  3. Step 3: Cross multiply
    35,828.04x = 53,382.06 × 33,816
  4. Step 4: Simplify right side
    35,828.04x = 1,805,167,740.96
  5. Step 5: Solve for x
    x = 1,805,167,740.96/35,828.04
  6. Step 6: Final answer
    x = 50,384.22

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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.