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Finding the Fourth Proportional to 38,901.06, 53,680.32 and 22,134.06

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Solution

The fourth proportional to 38,901.06, 53,680.32 and 22,134.06 is: 30,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901.06 : 53,680.32 = 22,134.06 : x
  2. Step 2: Convert to fraction form
    38,901.06/53,680.32 = 22,134.06/x
  3. Step 3: Cross multiply
    38,901.06x = 53,680.32 × 22,134.06
  4. Step 4: Simplify right side
    38,901.06x = 1,188,163,423.70
  5. Step 5: Solve for x
    x = 1,188,163,423.70/38,901.06
  6. Step 6: Final answer
    x = 30,543.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.