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Finding the Fourth Proportional to 74,284.40, 111,525.48 and 43,142

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Solution

The fourth proportional to 74,284.40, 111,525.48 and 43,142 is: 64,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,284.40 : 111,525.48 = 43,142 : x
  2. Step 2: Convert to fraction form
    74,284.40/111,525.48 = 43,142/x
  3. Step 3: Cross multiply
    74,284.40x = 111,525.48 × 43,142
  4. Step 4: Simplify right side
    74,284.40x = 4,811,432,258.16
  5. Step 5: Solve for x
    x = 4,811,432,258.16/74,284.40
  6. Step 6: Final answer
    x = 64,770.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.