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Finding the Fourth Proportional to 69,095.23, 103,664.72 and 24,721

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Solution

The fourth proportional to 69,095.23, 103,664.72 and 24,721 is: 37,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.23 : 103,664.72 = 24,721 : x
  2. Step 2: Convert to fraction form
    69,095.23/103,664.72 = 24,721/x
  3. Step 3: Cross multiply
    69,095.23x = 103,664.72 × 24,721
  4. Step 4: Simplify right side
    69,095.23x = 2,562,695,543.12
  5. Step 5: Solve for x
    x = 2,562,695,543.12/69,095.23
  6. Step 6: Final answer
    x = 37,089.33

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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.