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Finding the Fourth Proportional to 51,951.30, 77,732.55 and 34,455.30

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Solution

The fourth proportional to 51,951.30, 77,732.55 and 34,455.30 is: 51,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.30 : 77,732.55 = 34,455.30 : x
  2. Step 2: Convert to fraction form
    51,951.30/77,732.55 = 34,455.30/x
  3. Step 3: Cross multiply
    51,951.30x = 77,732.55 × 34,455.30
  4. Step 4: Simplify right side
    51,951.30x = 2,678,298,330.02
  5. Step 5: Solve for x
    x = 2,678,298,330.02/51,951.30
  6. Step 6: Final answer
    x = 51,554.02

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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.