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Finding the Fourth Proportional to 96,952.78, 133,749.93 and 56,668.24

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Solution

The fourth proportional to 96,952.78, 133,749.93 and 56,668.24 is: 78,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,952.78 : 133,749.93 = 56,668.24 : x
  2. Step 2: Convert to fraction form
    96,952.78/133,749.93 = 56,668.24/x
  3. Step 3: Cross multiply
    96,952.78x = 133,749.93 × 56,668.24
  4. Step 4: Simplify right side
    96,952.78x = 7,579,373,133.22
  5. Step 5: Solve for x
    x = 7,579,373,133.22/96,952.78
  6. Step 6: Final answer
    x = 78,175.92

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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.