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Finding the Fourth Proportional to 34,607.16, 47,758.77 and 21,178.17

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Solution

The fourth proportional to 34,607.16, 47,758.77 and 21,178.17 is: 29,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607.16 : 47,758.77 = 21,178.17 : x
  2. Step 2: Convert to fraction form
    34,607.16/47,758.77 = 21,178.17/x
  3. Step 3: Cross multiply
    34,607.16x = 47,758.77 × 21,178.17
  4. Step 4: Simplify right side
    34,607.16x = 1,011,443,350.05
  5. Step 5: Solve for x
    x = 1,011,443,350.05/34,607.16
  6. Step 6: Final answer
    x = 29,226.42

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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.