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Finding the Fourth Proportional to 56,033.01, 77,323.57 and 30,538.87

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Solution

The fourth proportional to 56,033.01, 77,323.57 and 30,538.87 is: 42,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,033.01 : 77,323.57 = 30,538.87 : x
  2. Step 2: Convert to fraction form
    56,033.01/77,323.57 = 30,538.87/x
  3. Step 3: Cross multiply
    56,033.01x = 77,323.57 × 30,538.87
  4. Step 4: Simplify right side
    56,033.01x = 2,361,374,452.17
  5. Step 5: Solve for x
    x = 2,361,374,452.17/56,033.01
  6. Step 6: Final answer
    x = 42,142.56

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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.