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Finding the Fourth Proportional to 47,569, 65,645.22 and 26,349.64

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Solution

The fourth proportional to 47,569, 65,645.22 and 26,349.64 is: 36,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,569 : 65,645.22 = 26,349.64 : x
  2. Step 2: Convert to fraction form
    47,569/65,645.22 = 26,349.64/x
  3. Step 3: Cross multiply
    47,569x = 65,645.22 × 26,349.64
  4. Step 4: Simplify right side
    47,569x = 1,729,727,586.49
  5. Step 5: Solve for x
    x = 1,729,727,586.49/47,569
  6. Step 6: Final answer
    x = 36,362.50

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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.