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Finding the Fourth Proportional to 47,347.44, 70,993.56 and 19,281

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Solution

The fourth proportional to 47,347.44, 70,993.56 and 19,281 is: 28,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,347.44 : 70,993.56 = 19,281 : x
  2. Step 2: Convert to fraction form
    47,347.44/70,993.56 = 19,281/x
  3. Step 3: Cross multiply
    47,347.44x = 70,993.56 × 19,281
  4. Step 4: Simplify right side
    47,347.44x = 1,368,826,830.36
  5. Step 5: Solve for x
    x = 1,368,826,830.36/47,347.44
  6. Step 6: Final answer
    x = 28,910.26

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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.