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Finding the Fourth Proportional to 51,814.90, 77,689.04 and 34,024.54

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Solution

The fourth proportional to 51,814.90, 77,689.04 and 34,024.54 is: 51,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.90 : 77,689.04 = 34,024.54 : x
  2. Step 2: Convert to fraction form
    51,814.90/77,689.04 = 34,024.54/x
  3. Step 3: Cross multiply
    51,814.90x = 77,689.04 × 34,024.54
  4. Step 4: Simplify right side
    51,814.90x = 2,643,333,849.04
  5. Step 5: Solve for x
    x = 2,643,333,849.04/51,814.90
  6. Step 6: Final answer
    x = 51,014.94

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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.