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Finding the Fourth Proportional to 47,104, 64,965.92 and 30,987.87

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Solution

The fourth proportional to 47,104, 64,965.92 and 30,987.87 is: 42,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,104 : 64,965.92 = 30,987.87 : x
  2. Step 2: Convert to fraction form
    47,104/64,965.92 = 30,987.87/x
  3. Step 3: Cross multiply
    47,104x = 64,965.92 × 30,987.87
  4. Step 4: Simplify right side
    47,104x = 2,013,155,483.39
  5. Step 5: Solve for x
    x = 2,013,155,483.39/47,104
  6. Step 6: Final answer
    x = 42,738.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.