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Finding the Fourth Proportional to 34,494, 47,601.78 and 19,590

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Solution

The fourth proportional to 34,494, 47,601.78 and 19,590 is: 27,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494 : 47,601.78 = 19,590 : x
  2. Step 2: Convert to fraction form
    34,494/47,601.78 = 19,590/x
  3. Step 3: Cross multiply
    34,494x = 47,601.78 × 19,590
  4. Step 4: Simplify right side
    34,494x = 932,518,870.20
  5. Step 5: Solve for x
    x = 932,518,870.20/34,494
  6. Step 6: Final answer
    x = 27,034.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.