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Finding the Fourth Proportional to 34,616.72, 47,772.64 and 19,510

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Solution

The fourth proportional to 34,616.72, 47,772.64 and 19,510 is: 26,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.72 : 47,772.64 = 19,510 : x
  2. Step 2: Convert to fraction form
    34,616.72/47,772.64 = 19,510/x
  3. Step 3: Cross multiply
    34,616.72x = 47,772.64 × 19,510
  4. Step 4: Simplify right side
    34,616.72x = 932,044,206.40
  5. Step 5: Solve for x
    x = 932,044,206.40/34,616.72
  6. Step 6: Final answer
    x = 26,924.68

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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.