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Finding the Fourth Proportional to 61,178.41, 84,411.75 and 35,669.44

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Solution

The fourth proportional to 61,178.41, 84,411.75 and 35,669.44 is: 49,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.41 : 84,411.75 = 35,669.44 : x
  2. Step 2: Convert to fraction form
    61,178.41/84,411.75 = 35,669.44/x
  3. Step 3: Cross multiply
    61,178.41x = 84,411.75 × 35,669.44
  4. Step 4: Simplify right side
    61,178.41x = 3,010,919,851.92
  5. Step 5: Solve for x
    x = 3,010,919,851.92/61,178.41
  6. Step 6: Final answer
    x = 49,215.40

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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.