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Finding the Fourth Proportional to 56,495.78, 77,965.08 and 32,624.54

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Solution

The fourth proportional to 56,495.78, 77,965.08 and 32,624.54 is: 45,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,495.78 : 77,965.08 = 32,624.54 : x
  2. Step 2: Convert to fraction form
    56,495.78/77,965.08 = 32,624.54/x
  3. Step 3: Cross multiply
    56,495.78x = 77,965.08 × 32,624.54
  4. Step 4: Simplify right side
    56,495.78x = 2,543,574,481.24
  5. Step 5: Solve for x
    x = 2,543,574,481.24/56,495.78
  6. Step 6: Final answer
    x = 45,022.38

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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.