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Finding the Fourth Proportional to 76,495.56, 105,558.24 and 46,297.68

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Solution

The fourth proportional to 76,495.56, 105,558.24 and 46,297.68 is: 63,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.56 : 105,558.24 = 46,297.68 : x
  2. Step 2: Convert to fraction form
    76,495.56/105,558.24 = 46,297.68/x
  3. Step 3: Cross multiply
    76,495.56x = 105,558.24 × 46,297.68
  4. Step 4: Simplify right side
    76,495.56x = 4,887,101,616.88
  5. Step 5: Solve for x
    x = 4,887,101,616.88/76,495.56
  6. Step 6: Final answer
    x = 63,887.39

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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.