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Finding the Fourth Proportional to 51,544.58, 77,262.90 and 21,576

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Solution

The fourth proportional to 51,544.58, 77,262.90 and 21,576 is: 32,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,544.58 : 77,262.90 = 21,576 : x
  2. Step 2: Convert to fraction form
    51,544.58/77,262.90 = 21,576/x
  3. Step 3: Cross multiply
    51,544.58x = 77,262.90 × 21,576
  4. Step 4: Simplify right side
    51,544.58x = 1,667,024,330.40
  5. Step 5: Solve for x
    x = 1,667,024,330.40/51,544.58
  6. Step 6: Final answer
    x = 32,341.41

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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.