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Finding the Fourth Proportional to 76,710.60, 105,835.22 and 44,856.96

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Solution

The fourth proportional to 76,710.60, 105,835.22 and 44,856.96 is: 61,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.60 : 105,835.22 = 44,856.96 : x
  2. Step 2: Convert to fraction form
    76,710.60/105,835.22 = 44,856.96/x
  3. Step 3: Cross multiply
    76,710.60x = 105,835.22 × 44,856.96
  4. Step 4: Simplify right side
    76,710.60x = 4,747,446,230.13
  5. Step 5: Solve for x
    x = 4,747,446,230.13/76,710.60
  6. Step 6: Final answer
    x = 61,887.75

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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.