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Finding the Fourth Proportional to 28,029, 38,680.34 and 19,543.56

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Solution

The fourth proportional to 28,029, 38,680.34 and 19,543.56 is: 26,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,029 : 38,680.34 = 19,543.56 : x
  2. Step 2: Convert to fraction form
    28,029/38,680.34 = 19,543.56/x
  3. Step 3: Cross multiply
    28,029x = 38,680.34 × 19,543.56
  4. Step 4: Simplify right side
    28,029x = 755,951,545.61
  5. Step 5: Solve for x
    x = 755,951,545.61/28,029
  6. Step 6: Final answer
    x = 26,970.34

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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.