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Finding the Fourth Proportional to 85,835.61, 118,454.56 and 47,596.77

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Solution

The fourth proportional to 85,835.61, 118,454.56 and 47,596.77 is: 65,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,835.61 : 118,454.56 = 47,596.77 : x
  2. Step 2: Convert to fraction form
    85,835.61/118,454.56 = 47,596.77/x
  3. Step 3: Cross multiply
    85,835.61x = 118,454.56 × 47,596.77
  4. Step 4: Simplify right side
    85,835.61x = 5,638,054,447.77
  5. Step 5: Solve for x
    x = 5,638,054,447.77/85,835.61
  6. Step 6: Final answer
    x = 65,684.33

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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.