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Finding the Fourth Proportional to 34,345.72, 47,424.49 and 22,871.84

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Solution

The fourth proportional to 34,345.72, 47,424.49 and 22,871.84 is: 31,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,345.72 : 47,424.49 = 22,871.84 : x
  2. Step 2: Convert to fraction form
    34,345.72/47,424.49 = 22,871.84/x
  3. Step 3: Cross multiply
    34,345.72x = 47,424.49 × 22,871.84
  4. Step 4: Simplify right side
    34,345.72x = 1,084,685,053.06
  5. Step 5: Solve for x
    x = 1,084,685,053.06/34,345.72
  6. Step 6: Final answer
    x = 31,581.37

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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.