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Finding the Fourth Proportional to 32,600, 44,988.54 and 17,696

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Solution

The fourth proportional to 32,600, 44,988.54 and 17,696 is: 24,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,600 : 44,988.54 = 17,696 : x
  2. Step 2: Convert to fraction form
    32,600/44,988.54 = 17,696/x
  3. Step 3: Cross multiply
    32,600x = 44,988.54 × 17,696
  4. Step 4: Simplify right side
    32,600x = 796,117,203.84
  5. Step 5: Solve for x
    x = 796,117,203.84/32,600
  6. Step 6: Final answer
    x = 24,420.77

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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.