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Finding the Fourth Proportional to 76,307.80, 105,311.42 and 44,476.01

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Solution

The fourth proportional to 76,307.80, 105,311.42 and 44,476.01 is: 61,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.80 : 105,311.42 = 44,476.01 : x
  2. Step 2: Convert to fraction form
    76,307.80/105,311.42 = 44,476.01/x
  3. Step 3: Cross multiply
    76,307.80x = 105,311.42 × 44,476.01
  4. Step 4: Simplify right side
    76,307.80x = 4,683,831,976.72
  5. Step 5: Solve for x
    x = 4,683,831,976.72/76,307.80
  6. Step 6: Final answer
    x = 61,380.78

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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.