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Finding the Fourth Proportional to 78,858.46, 108,827.13 and 44,871.87

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Solution

The fourth proportional to 78,858.46, 108,827.13 and 44,871.87 is: 61,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858.46 : 108,827.13 = 44,871.87 : x
  2. Step 2: Convert to fraction form
    78,858.46/108,827.13 = 44,871.87/x
  3. Step 3: Cross multiply
    78,858.46x = 108,827.13 × 44,871.87
  4. Step 4: Simplify right side
    78,858.46x = 4,883,276,829.83
  5. Step 5: Solve for x
    x = 4,883,276,829.83/78,858.46
  6. Step 6: Final answer
    x = 61,924.58

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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.