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Finding the Fourth Proportional to 51,670.71, 77,461.11 and 43,824.24

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Solution

The fourth proportional to 51,670.71, 77,461.11 and 43,824.24 is: 65,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,670.71 : 77,461.11 = 43,824.24 : x
  2. Step 2: Convert to fraction form
    51,670.71/77,461.11 = 43,824.24/x
  3. Step 3: Cross multiply
    51,670.71x = 77,461.11 × 43,824.24
  4. Step 4: Simplify right side
    51,670.71x = 3,394,674,275.31
  5. Step 5: Solve for x
    x = 3,394,674,275.31/51,670.71
  6. Step 6: Final answer
    x = 65,698.23

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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.