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Finding the Fourth Proportional to 34,616.84, 47,752.07 and 23,266.31

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Solution

The fourth proportional to 34,616.84, 47,752.07 and 23,266.31 is: 32,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.84 : 47,752.07 = 23,266.31 : x
  2. Step 2: Convert to fraction form
    34,616.84/47,752.07 = 23,266.31/x
  3. Step 3: Cross multiply
    34,616.84x = 47,752.07 × 23,266.31
  4. Step 4: Simplify right side
    34,616.84x = 1,111,014,108.67
  5. Step 5: Solve for x
    x = 1,111,014,108.67/34,616.84
  6. Step 6: Final answer
    x = 32,094.62

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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.