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Finding the Fourth Proportional to 38,767, 58,151.04 and 11,065

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Solution

The fourth proportional to 38,767, 58,151.04 and 11,065 is: 16,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767 : 58,151.04 = 11,065 : x
  2. Step 2: Convert to fraction form
    38,767/58,151.04 = 11,065/x
  3. Step 3: Cross multiply
    38,767x = 58,151.04 × 11,065
  4. Step 4: Simplify right side
    38,767x = 643,441,257.60
  5. Step 5: Solve for x
    x = 643,441,257.60/38,767
  6. Step 6: Final answer
    x = 16,597.65

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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.