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Finding the Fourth Proportional to 53,097.96, 73,263.42 and 30,729

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Solution

The fourth proportional to 53,097.96, 73,263.42 and 30,729 is: 42,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,097.96 : 73,263.42 = 30,729 : x
  2. Step 2: Convert to fraction form
    53,097.96/73,263.42 = 30,729/x
  3. Step 3: Cross multiply
    53,097.96x = 73,263.42 × 30,729
  4. Step 4: Simplify right side
    53,097.96x = 2,251,311,633.18
  5. Step 5: Solve for x
    x = 2,251,311,633.18/53,097.96
  6. Step 6: Final answer
    x = 42,399.21

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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.