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Finding the Fourth Proportional to 34,516, 47,632.08 and 19,612

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Solution

The fourth proportional to 34,516, 47,632.08 and 19,612 is: 27,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516 : 47,632.08 = 19,612 : x
  2. Step 2: Convert to fraction form
    34,516/47,632.08 = 19,612/x
  3. Step 3: Cross multiply
    34,516x = 47,632.08 × 19,612
  4. Step 4: Simplify right side
    34,516x = 934,160,352.96
  5. Step 5: Solve for x
    x = 934,160,352.96/34,516
  6. Step 6: Final answer
    x = 27,064.56

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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.