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Finding the Fourth Proportional to 85,811.80, 118,420.32 and 52,277.80

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Solution

The fourth proportional to 85,811.80, 118,420.32 and 52,277.80 is: 72,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,811.80 : 118,420.32 = 52,277.80 : x
  2. Step 2: Convert to fraction form
    85,811.80/118,420.32 = 52,277.80/x
  3. Step 3: Cross multiply
    85,811.80x = 118,420.32 × 52,277.80
  4. Step 4: Simplify right side
    85,811.80x = 6,190,753,804.90
  5. Step 5: Solve for x
    x = 6,190,753,804.90/85,811.80
  6. Step 6: Final answer
    x = 72,143.39

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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.