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Finding the Fourth Proportional to 52,378, 72,281.64 and 30,022

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Solution

The fourth proportional to 52,378, 72,281.64 and 30,022 is: 41,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,378 : 72,281.64 = 30,022 : x
  2. Step 2: Convert to fraction form
    52,378/72,281.64 = 30,022/x
  3. Step 3: Cross multiply
    52,378x = 72,281.64 × 30,022
  4. Step 4: Simplify right side
    52,378x = 2,170,039,396.08
  5. Step 5: Solve for x
    x = 2,170,039,396.08/52,378
  6. Step 6: Final answer
    x = 41,430.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.