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Finding the Fourth Proportional to 96,597.97, 133,314.96 and 54,156.50

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Solution

The fourth proportional to 96,597.97, 133,314.96 and 54,156.50 is: 74,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597.97 : 133,314.96 = 54,156.50 : x
  2. Step 2: Convert to fraction form
    96,597.97/133,314.96 = 54,156.50/x
  3. Step 3: Cross multiply
    96,597.97x = 133,314.96 × 54,156.50
  4. Step 4: Simplify right side
    96,597.97x = 7,219,871,667.68
  5. Step 5: Solve for x
    x = 7,219,871,667.68/96,597.97
  6. Step 6: Final answer
    x = 74,741.44

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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.