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Finding the Fourth Proportional to 47,362.92, 70,947.78 and 29,535.22

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Solution

The fourth proportional to 47,362.92, 70,947.78 and 29,535.22 is: 44,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,362.92 : 70,947.78 = 29,535.22 : x
  2. Step 2: Convert to fraction form
    47,362.92/70,947.78 = 29,535.22/x
  3. Step 3: Cross multiply
    47,362.92x = 70,947.78 × 29,535.22
  4. Step 4: Simplify right side
    47,362.92x = 2,095,458,290.81
  5. Step 5: Solve for x
    x = 2,095,458,290.81/47,362.92
  6. Step 6: Final answer
    x = 44,242.59

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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.