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Finding the Fourth Proportional to 61,471.31, 84,821.38 and 34,608.47

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Solution

The fourth proportional to 61,471.31, 84,821.38 and 34,608.47 is: 47,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471.31 : 84,821.38 = 34,608.47 : x
  2. Step 2: Convert to fraction form
    61,471.31/84,821.38 = 34,608.47/x
  3. Step 3: Cross multiply
    61,471.31x = 84,821.38 × 34,608.47
  4. Step 4: Simplify right side
    61,471.31x = 2,935,537,674.46
  5. Step 5: Solve for x
    x = 2,935,537,674.46/61,471.31
  6. Step 6: Final answer
    x = 47,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.