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Finding the Fourth Proportional to 96,991.21, 133,827.80 and 56,697.18

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Solution

The fourth proportional to 96,991.21, 133,827.80 and 56,697.18 is: 78,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,991.21 : 133,827.80 = 56,697.18 : x
  2. Step 2: Convert to fraction form
    96,991.21/133,827.80 = 56,697.18/x
  3. Step 3: Cross multiply
    96,991.21x = 133,827.80 × 56,697.18
  4. Step 4: Simplify right side
    96,991.21x = 7,587,658,865.60
  5. Step 5: Solve for x
    x = 7,587,658,865.60/96,991.21
  6. Step 6: Final answer
    x = 78,230.38

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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.