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Finding the Fourth Proportional to 47,071, 70,635.68 and 27,358.84

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Solution

The fourth proportional to 47,071, 70,635.68 and 27,358.84 is: 41,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,071 : 70,635.68 = 27,358.84 : x
  2. Step 2: Convert to fraction form
    47,071/70,635.68 = 27,358.84/x
  3. Step 3: Cross multiply
    47,071x = 70,635.68 × 27,358.84
  4. Step 4: Simplify right side
    47,071x = 1,932,510,267.41
  5. Step 5: Solve for x
    x = 1,932,510,267.41/47,071
  6. Step 6: Final answer
    x = 41,055.22

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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.