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Finding the Fourth Proportional to 54,342.36, 75,024.63 and 34,216.49

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Solution

The fourth proportional to 54,342.36, 75,024.63 and 34,216.49 is: 47,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342.36 : 75,024.63 = 34,216.49 : x
  2. Step 2: Convert to fraction form
    54,342.36/75,024.63 = 34,216.49/x
  3. Step 3: Cross multiply
    54,342.36x = 75,024.63 × 34,216.49
  4. Step 4: Simplify right side
    54,342.36x = 2,567,079,689.71
  5. Step 5: Solve for x
    x = 2,567,079,689.71/54,342.36
  6. Step 6: Final answer
    x = 47,239.02

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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.