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Finding the Fourth Proportional to 34,376.34, 47,443.17 and 19,270.47

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Solution

The fourth proportional to 34,376.34, 47,443.17 and 19,270.47 is: 26,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,376.34 : 47,443.17 = 19,270.47 : x
  2. Step 2: Convert to fraction form
    34,376.34/47,443.17 = 19,270.47/x
  3. Step 3: Cross multiply
    34,376.34x = 47,443.17 × 19,270.47
  4. Step 4: Simplify right side
    34,376.34x = 914,252,184.19
  5. Step 5: Solve for x
    x = 914,252,184.19/34,376.34
  6. Step 6: Final answer
    x = 26,595.39

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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.