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Finding the Fourth Proportional to 76,844.52, 106,054.02 and 45,040.32

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Solution

The fourth proportional to 76,844.52, 106,054.02 and 45,040.32 is: 62,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,844.52 : 106,054.02 = 45,040.32 : x
  2. Step 2: Convert to fraction form
    76,844.52/106,054.02 = 45,040.32/x
  3. Step 3: Cross multiply
    76,844.52x = 106,054.02 × 45,040.32
  4. Step 4: Simplify right side
    76,844.52x = 4,776,706,998.09
  5. Step 5: Solve for x
    x = 4,776,706,998.09/76,844.52
  6. Step 6: Final answer
    x = 62,160.67

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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.