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Finding the Fourth Proportional to 34,490.72, 47,596.06 and 19,383

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Solution

The fourth proportional to 34,490.72, 47,596.06 and 19,383 is: 26,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490.72 : 47,596.06 = 19,383 : x
  2. Step 2: Convert to fraction form
    34,490.72/47,596.06 = 19,383/x
  3. Step 3: Cross multiply
    34,490.72x = 47,596.06 × 19,383
  4. Step 4: Simplify right side
    34,490.72x = 922,554,430.98
  5. Step 5: Solve for x
    x = 922,554,430.98/34,490.72
  6. Step 6: Final answer
    x = 26,747.90

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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.