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Finding the Fourth Proportional to 76,824.50, 106,017.46 and 44,565.64

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Solution

The fourth proportional to 76,824.50, 106,017.46 and 44,565.64 is: 61,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,824.50 : 106,017.46 = 44,565.64 : x
  2. Step 2: Convert to fraction form
    76,824.50/106,017.46 = 44,565.64/x
  3. Step 3: Cross multiply
    76,824.50x = 106,017.46 × 44,565.64
  4. Step 4: Simplify right side
    76,824.50x = 4,724,736,175.96
  5. Step 5: Solve for x
    x = 4,724,736,175.96/76,824.50
  6. Step 6: Final answer
    x = 61,500.38

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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.