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Finding the Fourth Proportional to 56,032.17, 77,324.51 and 30,538.82

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Solution

The fourth proportional to 56,032.17, 77,324.51 and 30,538.82 is: 42,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,032.17 : 77,324.51 = 30,538.82 : x
  2. Step 2: Convert to fraction form
    56,032.17/77,324.51 = 30,538.82/x
  3. Step 3: Cross multiply
    56,032.17x = 77,324.51 × 30,538.82
  4. Step 4: Simplify right side
    56,032.17x = 2,361,399,390.36
  5. Step 5: Solve for x
    x = 2,361,399,390.36/56,032.17
  6. Step 6: Final answer
    x = 42,143.63

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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.