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Finding the Fourth Proportional to 71,317.74, 98,396.28 and 47,448.46

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Solution

The fourth proportional to 71,317.74, 98,396.28 and 47,448.46 is: 65,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317.74 : 98,396.28 = 47,448.46 : x
  2. Step 2: Convert to fraction form
    71,317.74/98,396.28 = 47,448.46/x
  3. Step 3: Cross multiply
    71,317.74x = 98,396.28 × 47,448.46
  4. Step 4: Simplify right side
    71,317.74x = 4,668,751,955.73
  5. Step 5: Solve for x
    x = 4,668,751,955.73/71,317.74
  6. Step 6: Final answer
    x = 65,464.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.