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Finding the Fourth Proportional to 109,713.76, 164,570.64 and 38,619.65

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Solution

The fourth proportional to 109,713.76, 164,570.64 and 38,619.65 is: 57,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.76 : 164,570.64 = 38,619.65 : x
  2. Step 2: Convert to fraction form
    109,713.76/164,570.64 = 38,619.65/x
  3. Step 3: Cross multiply
    109,713.76x = 164,570.64 × 38,619.65
  4. Step 4: Simplify right side
    109,713.76x = 6,355,660,783.68
  5. Step 5: Solve for x
    x = 6,355,660,783.68/109,713.76
  6. Step 6: Final answer
    x = 57,929.48

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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.