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Finding the Fourth Proportional to 45,842.58, 68,676.03 and 31,025.94

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Solution

The fourth proportional to 45,842.58, 68,676.03 and 31,025.94 is: 46,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842.58 : 68,676.03 = 31,025.94 : x
  2. Step 2: Convert to fraction form
    45,842.58/68,676.03 = 31,025.94/x
  3. Step 3: Cross multiply
    45,842.58x = 68,676.03 × 31,025.94
  4. Step 4: Simplify right side
    45,842.58x = 2,130,738,386.22
  5. Step 5: Solve for x
    x = 2,130,738,386.22/45,842.58
  6. Step 6: Final answer
    x = 46,479.46

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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.