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Finding the Fourth Proportional to 52,889.60, 79,313.82 and 26,576

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Solution

The fourth proportional to 52,889.60, 79,313.82 and 26,576 is: 39,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,889.60 : 79,313.82 = 26,576 : x
  2. Step 2: Convert to fraction form
    52,889.60/79,313.82 = 26,576/x
  3. Step 3: Cross multiply
    52,889.60x = 79,313.82 × 26,576
  4. Step 4: Simplify right side
    52,889.60x = 2,107,844,080.32
  5. Step 5: Solve for x
    x = 2,107,844,080.32/52,889.60
  6. Step 6: Final answer
    x = 39,853.66

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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.