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Finding the Fourth Proportional to 78,827.37, 108,596.93 and 54,910.77

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Solution

The fourth proportional to 78,827.37, 108,596.93 and 54,910.77 is: 75,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.37 : 108,596.93 = 54,910.77 : x
  2. Step 2: Convert to fraction form
    78,827.37/108,596.93 = 54,910.77/x
  3. Step 3: Cross multiply
    78,827.37x = 108,596.93 × 54,910.77
  4. Step 4: Simplify right side
    78,827.37x = 5,963,140,502.95
  5. Step 5: Solve for x
    x = 5,963,140,502.95/78,827.37
  6. Step 6: Final answer
    x = 75,648.10

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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.