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Finding the Fourth Proportional to 61,198.12, 84,474.66 and 36,046

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Solution

The fourth proportional to 61,198.12, 84,474.66 and 36,046 is: 49,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198.12 : 84,474.66 = 36,046 : x
  2. Step 2: Convert to fraction form
    61,198.12/84,474.66 = 36,046/x
  3. Step 3: Cross multiply
    61,198.12x = 84,474.66 × 36,046
  4. Step 4: Simplify right side
    61,198.12x = 3,044,973,594.36
  5. Step 5: Solve for x
    x = 3,044,973,594.36/61,198.12
  6. Step 6: Final answer
    x = 49,756.00

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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.