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Finding the Fourth Proportional to 34,224.32, 47,229.17 and 19,118.45

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Solution

The fourth proportional to 34,224.32, 47,229.17 and 19,118.45 is: 26,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224.32 : 47,229.17 = 19,118.45 : x
  2. Step 2: Convert to fraction form
    34,224.32/47,229.17 = 19,118.45/x
  3. Step 3: Cross multiply
    34,224.32x = 47,229.17 × 19,118.45
  4. Step 4: Simplify right side
    34,224.32x = 902,948,547.67
  5. Step 5: Solve for x
    x = 902,948,547.67/34,224.32
  6. Step 6: Final answer
    x = 26,383.24

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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.