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Finding the Fourth Proportional to 61,411.91, 84,743.84 and 34,549.22

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Solution

The fourth proportional to 61,411.91, 84,743.84 and 34,549.22 is: 47,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411.91 : 84,743.84 = 34,549.22 : x
  2. Step 2: Convert to fraction form
    61,411.91/84,743.84 = 34,549.22/x
  3. Step 3: Cross multiply
    61,411.91x = 84,743.84 × 34,549.22
  4. Step 4: Simplify right side
    61,411.91x = 2,927,833,399.06
  5. Step 5: Solve for x
    x = 2,927,833,399.06/61,411.91
  6. Step 6: Final answer
    x = 47,675.34

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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.