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Finding the Fourth Proportional to 54,978.75, 75,870.68 and 29,828.25

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Solution

The fourth proportional to 54,978.75, 75,870.68 and 29,828.25 is: 41,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.75 : 75,870.68 = 29,828.25 : x
  2. Step 2: Convert to fraction form
    54,978.75/75,870.68 = 29,828.25/x
  3. Step 3: Cross multiply
    54,978.75x = 75,870.68 × 29,828.25
  4. Step 4: Simplify right side
    54,978.75x = 2,263,089,461.57
  5. Step 5: Solve for x
    x = 2,263,089,461.57/54,978.75
  6. Step 6: Final answer
    x = 41,162.99

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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.