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Finding the Fourth Proportional to 20,635.39, 30,953.67 and 5,053

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Solution

The fourth proportional to 20,635.39, 30,953.67 and 5,053 is: 7,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.39 : 30,953.67 = 5,053 : x
  2. Step 2: Convert to fraction form
    20,635.39/30,953.67 = 5,053/x
  3. Step 3: Cross multiply
    20,635.39x = 30,953.67 × 5,053
  4. Step 4: Simplify right side
    20,635.39x = 156,408,894.51
  5. Step 5: Solve for x
    x = 156,408,894.51/20,635.39
  6. Step 6: Final answer
    x = 7,579.64

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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.