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Finding the Fourth Proportional to 51,881.90, 77,698.11 and 29,627.82

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Solution

The fourth proportional to 51,881.90, 77,698.11 and 29,627.82 is: 44,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,881.90 : 77,698.11 = 29,627.82 : x
  2. Step 2: Convert to fraction form
    51,881.90/77,698.11 = 29,627.82/x
  3. Step 3: Cross multiply
    51,881.90x = 77,698.11 × 29,627.82
  4. Step 4: Simplify right side
    51,881.90x = 2,302,025,617.42
  5. Step 5: Solve for x
    x = 2,302,025,617.42/51,881.90
  6. Step 6: Final answer
    x = 44,370.50

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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.