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Finding the Fourth Proportional to 96,952.36, 133,750.52 and 56,648

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Solution

The fourth proportional to 96,952.36, 133,750.52 and 56,648 is: 78,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,952.36 : 133,750.52 = 56,648 : x
  2. Step 2: Convert to fraction form
    96,952.36/133,750.52 = 56,648/x
  3. Step 3: Cross multiply
    96,952.36x = 133,750.52 × 56,648
  4. Step 4: Simplify right side
    96,952.36x = 7,576,699,456.96
  5. Step 5: Solve for x
    x = 7,576,699,456.96/96,952.36
  6. Step 6: Final answer
    x = 78,148.69

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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.