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Finding the Fourth Proportional to 54,699.48, 75,483.14 and 30,831

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Solution

The fourth proportional to 54,699.48, 75,483.14 and 30,831 is: 42,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.48 : 75,483.14 = 30,831 : x
  2. Step 2: Convert to fraction form
    54,699.48/75,483.14 = 30,831/x
  3. Step 3: Cross multiply
    54,699.48x = 75,483.14 × 30,831
  4. Step 4: Simplify right side
    54,699.48x = 2,327,220,689.34
  5. Step 5: Solve for x
    x = 2,327,220,689.34/54,699.48
  6. Step 6: Final answer
    x = 42,545.57

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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.