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Finding the Fourth Proportional to 55,618, 83,440.44 and 22,786

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Solution

The fourth proportional to 55,618, 83,440.44 and 22,786 is: 34,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,618 : 83,440.44 = 22,786 : x
  2. Step 2: Convert to fraction form
    55,618/83,440.44 = 22,786/x
  3. Step 3: Cross multiply
    55,618x = 83,440.44 × 22,786
  4. Step 4: Simplify right side
    55,618x = 1,901,273,865.84
  5. Step 5: Solve for x
    x = 1,901,273,865.84/55,618
  6. Step 6: Final answer
    x = 34,184.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.