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Finding the Fourth Proportional to 76,753.57, 105,152.77 and 73,877.21

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Solution

The fourth proportional to 76,753.57, 105,152.77 and 73,877.21 is: 101,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.57 : 105,152.77 = 73,877.21 : x
  2. Step 2: Convert to fraction form
    76,753.57/105,152.77 = 73,877.21/x
  3. Step 3: Cross multiply
    76,753.57x = 105,152.77 × 73,877.21
  4. Step 4: Simplify right side
    76,753.57x = 7,768,393,271.37
  5. Step 5: Solve for x
    x = 7,768,393,271.37/76,753.57
  6. Step 6: Final answer
    x = 101,212.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.