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Finding the Fourth Proportional to 65,584.71, 98,356.09 and 28,134.73

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Solution

The fourth proportional to 65,584.71, 98,356.09 and 28,134.73 is: 42,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.71 : 98,356.09 = 28,134.73 : x
  2. Step 2: Convert to fraction form
    65,584.71/98,356.09 = 28,134.73/x
  3. Step 3: Cross multiply
    65,584.71x = 98,356.09 × 28,134.73
  4. Step 4: Simplify right side
    65,584.71x = 2,767,222,036.01
  5. Step 5: Solve for x
    x = 2,767,222,036.01/65,584.71
  6. Step 6: Final answer
    x = 42,193.10

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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.