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Finding the Fourth Proportional to 51,732.88, 77,697.72 and 32,148.29

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Solution

The fourth proportional to 51,732.88, 77,697.72 and 32,148.29 is: 48,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732.88 : 77,697.72 = 32,148.29 : x
  2. Step 2: Convert to fraction form
    51,732.88/77,697.72 = 32,148.29/x
  3. Step 3: Cross multiply
    51,732.88x = 77,697.72 × 32,148.29
  4. Step 4: Simplify right side
    51,732.88x = 2,497,849,029.14
  5. Step 5: Solve for x
    x = 2,497,849,029.14/51,732.88
  6. Step 6: Final answer
    x = 48,283.59

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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.