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Finding the Fourth Proportional to 50,730, 76,095.24 and 17,898

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Solution

The fourth proportional to 50,730, 76,095.24 and 17,898 is: 26,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,730 : 76,095.24 = 17,898 : x
  2. Step 2: Convert to fraction form
    50,730/76,095.24 = 17,898/x
  3. Step 3: Cross multiply
    50,730x = 76,095.24 × 17,898
  4. Step 4: Simplify right side
    50,730x = 1,361,952,605.52
  5. Step 5: Solve for x
    x = 1,361,952,605.52/50,730
  6. Step 6: Final answer
    x = 26,847.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.