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Finding the Fourth Proportional to 30,493.27, 42,082.02 and 18,854.04

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Solution

The fourth proportional to 30,493.27, 42,082.02 and 18,854.04 is: 26,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.27 : 42,082.02 = 18,854.04 : x
  2. Step 2: Convert to fraction form
    30,493.27/42,082.02 = 18,854.04/x
  3. Step 3: Cross multiply
    30,493.27x = 42,082.02 × 18,854.04
  4. Step 4: Simplify right side
    30,493.27x = 793,416,088.36
  5. Step 5: Solve for x
    x = 793,416,088.36/30,493.27
  6. Step 6: Final answer
    x = 26,019.39

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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.