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Finding the Fourth Proportional to 47,662.82, 65,782.56 and 26,448.92

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Solution

The fourth proportional to 47,662.82, 65,782.56 and 26,448.92 is: 36,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.82 : 65,782.56 = 26,448.92 : x
  2. Step 2: Convert to fraction form
    47,662.82/65,782.56 = 26,448.92/x
  3. Step 3: Cross multiply
    47,662.82x = 65,782.56 × 26,448.92
  4. Step 4: Simplify right side
    47,662.82x = 1,739,877,666.84
  5. Step 5: Solve for x
    x = 1,739,877,666.84/47,662.82
  6. Step 6: Final answer
    x = 36,503.88

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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.