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Finding the Fourth Proportional to 54,663.40, 75,442.64 and 30,794.68

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Solution

The fourth proportional to 54,663.40, 75,442.64 and 30,794.68 is: 42,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,663.40 : 75,442.64 = 30,794.68 : x
  2. Step 2: Convert to fraction form
    54,663.40/75,442.64 = 30,794.68/x
  3. Step 3: Cross multiply
    54,663.40x = 75,442.64 × 30,794.68
  4. Step 4: Simplify right side
    54,663.40x = 2,323,231,957.16
  5. Step 5: Solve for x
    x = 2,323,231,957.16/54,663.40
  6. Step 6: Final answer
    x = 42,500.69

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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.