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Finding the Fourth Proportional to 30,974.64, 42,780.24 and 20,885.76

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Solution

The fourth proportional to 30,974.64, 42,780.24 and 20,885.76 is: 28,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.64 : 42,780.24 = 20,885.76 : x
  2. Step 2: Convert to fraction form
    30,974.64/42,780.24 = 20,885.76/x
  3. Step 3: Cross multiply
    30,974.64x = 42,780.24 × 20,885.76
  4. Step 4: Simplify right side
    30,974.64x = 893,497,825.38
  5. Step 5: Solve for x
    x = 893,497,825.38/30,974.64
  6. Step 6: Final answer
    x = 28,846.11

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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.