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Finding the Fourth Proportional to 53,751.48, 74,185.14 and 38,694

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Solution

The fourth proportional to 53,751.48, 74,185.14 and 38,694 is: 53,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,751.48 : 74,185.14 = 38,694 : x
  2. Step 2: Convert to fraction form
    53,751.48/74,185.14 = 38,694/x
  3. Step 3: Cross multiply
    53,751.48x = 74,185.14 × 38,694
  4. Step 4: Simplify right side
    53,751.48x = 2,870,519,807.16
  5. Step 5: Solve for x
    x = 2,870,519,807.16/53,751.48
  6. Step 6: Final answer
    x = 53,403.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.