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Finding the Fourth Proportional to 42,190.78, 63,286.74 and 11,026

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Solution

The fourth proportional to 42,190.78, 63,286.74 and 11,026 is: 16,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,190.78 : 63,286.74 = 11,026 : x
  2. Step 2: Convert to fraction form
    42,190.78/63,286.74 = 11,026/x
  3. Step 3: Cross multiply
    42,190.78x = 63,286.74 × 11,026
  4. Step 4: Simplify right side
    42,190.78x = 697,799,595.24
  5. Step 5: Solve for x
    x = 697,799,595.24/42,190.78
  6. Step 6: Final answer
    x = 16,539.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.