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Finding the Fourth Proportional to 76,810.56, 106,012.32 and 44,977.60

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Solution

The fourth proportional to 76,810.56, 106,012.32 and 44,977.60 is: 62,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810.56 : 106,012.32 = 44,977.60 : x
  2. Step 2: Convert to fraction form
    76,810.56/106,012.32 = 44,977.60/x
  3. Step 3: Cross multiply
    76,810.56x = 106,012.32 × 44,977.60
  4. Step 4: Simplify right side
    76,810.56x = 4,768,179,724.03
  5. Step 5: Solve for x
    x = 4,768,179,724.03/76,810.56
  6. Step 6: Final answer
    x = 62,077.14

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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.