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Finding the Fourth Proportional to 76,051.68, 114,077.70 and 44,865

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Solution

The fourth proportional to 76,051.68, 114,077.70 and 44,865 is: 67,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.68 : 114,077.70 = 44,865 : x
  2. Step 2: Convert to fraction form
    76,051.68/114,077.70 = 44,865/x
  3. Step 3: Cross multiply
    76,051.68x = 114,077.70 × 44,865
  4. Step 4: Simplify right side
    76,051.68x = 5,118,096,010.50
  5. Step 5: Solve for x
    x = 5,118,096,010.50/76,051.68
  6. Step 6: Final answer
    x = 67,297.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.