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Finding the Fourth Proportional to 53,095.96, 73,260.66 and 30,727

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Solution

The fourth proportional to 53,095.96, 73,260.66 and 30,727 is: 42,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.96 : 73,260.66 = 30,727 : x
  2. Step 2: Convert to fraction form
    53,095.96/73,260.66 = 30,727/x
  3. Step 3: Cross multiply
    53,095.96x = 73,260.66 × 30,727
  4. Step 4: Simplify right side
    53,095.96x = 2,251,080,299.82
  5. Step 5: Solve for x
    x = 2,251,080,299.82/53,095.96
  6. Step 6: Final answer
    x = 42,396.45

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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.