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Finding the Fourth Proportional to 30,121.56, 41,564.16 and 16,691.58

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Solution

The fourth proportional to 30,121.56, 41,564.16 and 16,691.58 is: 23,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121.56 : 41,564.16 = 16,691.58 : x
  2. Step 2: Convert to fraction form
    30,121.56/41,564.16 = 16,691.58/x
  3. Step 3: Cross multiply
    30,121.56x = 41,564.16 × 16,691.58
  4. Step 4: Simplify right side
    30,121.56x = 693,771,501.77
  5. Step 5: Solve for x
    x = 693,771,501.77/30,121.56
  6. Step 6: Final answer
    x = 23,032.39

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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.