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Finding the Fourth Proportional to 47,804.88, 65,971.92 and 26,586.24

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Solution

The fourth proportional to 47,804.88, 65,971.92 and 26,586.24 is: 36,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.88 : 65,971.92 = 26,586.24 : x
  2. Step 2: Convert to fraction form
    47,804.88/65,971.92 = 26,586.24/x
  3. Step 3: Cross multiply
    47,804.88x = 65,971.92 × 26,586.24
  4. Step 4: Simplify right side
    47,804.88x = 1,753,945,298.38
  5. Step 5: Solve for x
    x = 1,753,945,298.38/47,804.88
  6. Step 6: Final answer
    x = 36,689.67

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1.5x scale

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.