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Finding the Fourth Proportional to 39,201.32, 58,803.90 and 11,497

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Solution

The fourth proportional to 39,201.32, 58,803.90 and 11,497 is: 17,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201.32 : 58,803.90 = 11,497 : x
  2. Step 2: Convert to fraction form
    39,201.32/58,803.90 = 11,497/x
  3. Step 3: Cross multiply
    39,201.32x = 58,803.90 × 11,497
  4. Step 4: Simplify right side
    39,201.32x = 676,068,438.30
  5. Step 5: Solve for x
    x = 676,068,438.30/39,201.32
  6. Step 6: Final answer
    x = 17,246.06

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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.