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Finding the Fourth Proportional to 109,713.78, 164,570.63 and 38,619.68

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Solution

The fourth proportional to 109,713.78, 164,570.63 and 38,619.68 is: 57,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.78 : 164,570.63 = 38,619.68 : x
  2. Step 2: Convert to fraction form
    109,713.78/164,570.63 = 38,619.68/x
  3. Step 3: Cross multiply
    109,713.78x = 164,570.63 × 38,619.68
  4. Step 4: Simplify right side
    109,713.78x = 6,355,664,052.05
  5. Step 5: Solve for x
    x = 6,355,664,052.05/109,713.78
  6. Step 6: Final answer
    x = 57,929.50

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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.