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Finding the Fourth Proportional to 47,570.92, 65,647.92 and 26,349.74

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Solution

The fourth proportional to 47,570.92, 65,647.92 and 26,349.74 is: 36,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,570.92 : 65,647.92 = 26,349.74 : x
  2. Step 2: Convert to fraction form
    47,570.92/65,647.92 = 26,349.74/x
  3. Step 3: Cross multiply
    47,570.92x = 65,647.92 × 26,349.74
  4. Step 4: Simplify right side
    47,570.92x = 1,729,805,623.54
  5. Step 5: Solve for x
    x = 1,729,805,623.54/47,570.92
  6. Step 6: Final answer
    x = 36,362.67

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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.