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Finding the Fourth Proportional to 61,172.34, 84,411.07 and 34,309.29

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Solution

The fourth proportional to 61,172.34, 84,411.07 and 34,309.29 is: 47,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,172.34 : 84,411.07 = 34,309.29 : x
  2. Step 2: Convert to fraction form
    61,172.34/84,411.07 = 34,309.29/x
  3. Step 3: Cross multiply
    61,172.34x = 84,411.07 × 34,309.29
  4. Step 4: Simplify right side
    61,172.34x = 2,896,083,879.84
  5. Step 5: Solve for x
    x = 2,896,083,879.84/61,172.34
  6. Step 6: Final answer
    x = 47,343.03

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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.