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Finding the Fourth Proportional to 34,778.68, 48,002.16 and 21,356.98

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Solution

The fourth proportional to 34,778.68, 48,002.16 and 21,356.98 is: 29,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778.68 : 48,002.16 = 21,356.98 : x
  2. Step 2: Convert to fraction form
    34,778.68/48,002.16 = 21,356.98/x
  3. Step 3: Cross multiply
    34,778.68x = 48,002.16 × 21,356.98
  4. Step 4: Simplify right side
    34,778.68x = 1,025,181,171.08
  5. Step 5: Solve for x
    x = 1,025,181,171.08/34,778.68
  6. Step 6: Final answer
    x = 29,477.29

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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.