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Finding the Fourth Proportional to 96,383.45, 133,009.14 and 53,941.98

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Solution

The fourth proportional to 96,383.45, 133,009.14 and 53,941.98 is: 74,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,383.45 : 133,009.14 = 53,941.98 : x
  2. Step 2: Convert to fraction form
    96,383.45/133,009.14 = 53,941.98/x
  3. Step 3: Cross multiply
    96,383.45x = 133,009.14 × 53,941.98
  4. Step 4: Simplify right side
    96,383.45x = 7,174,777,070.76
  5. Step 5: Solve for x
    x = 7,174,777,070.76/96,383.45
  6. Step 6: Final answer
    x = 74,439.93

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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.