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Finding the Fourth Proportional to 51,662.99, 77,420.47 and 29,430.46

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Solution

The fourth proportional to 51,662.99, 77,420.47 and 29,430.46 is: 44,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662.99 : 77,420.47 = 29,430.46 : x
  2. Step 2: Convert to fraction form
    51,662.99/77,420.47 = 29,430.46/x
  3. Step 3: Cross multiply
    51,662.99x = 77,420.47 × 29,430.46
  4. Step 4: Simplify right side
    51,662.99x = 2,278,519,511.26
  5. Step 5: Solve for x
    x = 2,278,519,511.26/51,662.99
  6. Step 6: Final answer
    x = 44,103.52

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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.