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Finding the Fourth Proportional to 40,206.25, 55,484.67 and 23,442.49

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Solution

The fourth proportional to 40,206.25, 55,484.67 and 23,442.49 is: 32,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.25 : 55,484.67 = 23,442.49 : x
  2. Step 2: Convert to fraction form
    40,206.25/55,484.67 = 23,442.49/x
  3. Step 3: Cross multiply
    40,206.25x = 55,484.67 × 23,442.49
  4. Step 4: Simplify right side
    40,206.25x = 1,300,698,821.63
  5. Step 5: Solve for x
    x = 1,300,698,821.63/40,206.25
  6. Step 6: Final answer
    x = 32,350.66

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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.