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Finding the Fourth Proportional to 47,228.34, 70,870.19 and 33,886.96

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Solution

The fourth proportional to 47,228.34, 70,870.19 and 33,886.96 is: 50,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,228.34 : 70,870.19 = 33,886.96 : x
  2. Step 2: Convert to fraction form
    47,228.34/70,870.19 = 33,886.96/x
  3. Step 3: Cross multiply
    47,228.34x = 70,870.19 × 33,886.96
  4. Step 4: Simplify right side
    47,228.34x = 2,401,575,293.72
  5. Step 5: Solve for x
    x = 2,401,575,293.72/47,228.34
  6. Step 6: Final answer
    x = 50,850.30

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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.