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Finding the Fourth Proportional to 38,797.76, 58,200 and 10,717.84

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Solution

The fourth proportional to 38,797.76, 58,200 and 10,717.84 is: 16,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,797.76 : 58,200 = 10,717.84 : x
  2. Step 2: Convert to fraction form
    38,797.76/58,200 = 10,717.84/x
  3. Step 3: Cross multiply
    38,797.76x = 58,200 × 10,717.84
  4. Step 4: Simplify right side
    38,797.76x = 623,778,288
  5. Step 5: Solve for x
    x = 623,778,288/38,797.76
  6. Step 6: Final answer
    x = 16,077.69

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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.