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Finding the Fourth Proportional to 34,362.60, 47,423.73 and 19,257.82

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Solution

The fourth proportional to 34,362.60, 47,423.73 and 19,257.82 is: 26,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,362.60 : 47,423.73 = 19,257.82 : x
  2. Step 2: Convert to fraction form
    34,362.60/47,423.73 = 19,257.82/x
  3. Step 3: Cross multiply
    34,362.60x = 47,423.73 × 19,257.82
  4. Step 4: Simplify right side
    34,362.60x = 913,277,451.38
  5. Step 5: Solve for x
    x = 913,277,451.38/34,362.60
  6. Step 6: Final answer
    x = 26,577.66

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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.