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Finding the Fourth Proportional to 30,904.60, 42,648.42 and 16,757.38

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Solution

The fourth proportional to 30,904.60, 42,648.42 and 16,757.38 is: 23,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.60 : 42,648.42 = 16,757.38 : x
  2. Step 2: Convert to fraction form
    30,904.60/42,648.42 = 16,757.38/x
  3. Step 3: Cross multiply
    30,904.60x = 42,648.42 × 16,757.38
  4. Step 4: Simplify right side
    30,904.60x = 714,675,780.34
  5. Step 5: Solve for x
    x = 714,675,780.34/30,904.60
  6. Step 6: Final answer
    x = 23,125.22

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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.