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Finding the Fourth Proportional to 89,786, 134,698.44 and 34,382

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Solution

The fourth proportional to 89,786, 134,698.44 and 34,382 is: 51,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,786 : 134,698.44 = 34,382 : x
  2. Step 2: Convert to fraction form
    89,786/134,698.44 = 34,382/x
  3. Step 3: Cross multiply
    89,786x = 134,698.44 × 34,382
  4. Step 4: Simplify right side
    89,786x = 4,631,201,764.08
  5. Step 5: Solve for x
    x = 4,631,201,764.08/89,786
  6. Step 6: Final answer
    x = 51,580.44

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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.