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Finding the Fourth Proportional to 34,552.24, 47,680.32 and 19,445.20

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Solution

The fourth proportional to 34,552.24, 47,680.32 and 19,445.20 is: 26,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552.24 : 47,680.32 = 19,445.20 : x
  2. Step 2: Convert to fraction form
    34,552.24/47,680.32 = 19,445.20/x
  3. Step 3: Cross multiply
    34,552.24x = 47,680.32 × 19,445.20
  4. Step 4: Simplify right side
    34,552.24x = 927,153,358.46
  5. Step 5: Solve for x
    x = 927,153,358.46/34,552.24
  6. Step 6: Final answer
    x = 26,833.38

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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.