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Finding the Fourth Proportional to 32,607, 44,997.66 and 17,703

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Solution

The fourth proportional to 32,607, 44,997.66 and 17,703 is: 24,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607 : 44,997.66 = 17,703 : x
  2. Step 2: Convert to fraction form
    32,607/44,997.66 = 17,703/x
  3. Step 3: Cross multiply
    32,607x = 44,997.66 × 17,703
  4. Step 4: Simplify right side
    32,607x = 796,593,574.98
  5. Step 5: Solve for x
    x = 796,593,574.98/32,607
  6. Step 6: Final answer
    x = 24,430.14

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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.