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Finding the Fourth Proportional to 37,970.88, 52,400.52 and 20,976

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Solution

The fourth proportional to 37,970.88, 52,400.52 and 20,976 is: 28,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970.88 : 52,400.52 = 20,976 : x
  2. Step 2: Convert to fraction form
    37,970.88/52,400.52 = 20,976/x
  3. Step 3: Cross multiply
    37,970.88x = 52,400.52 × 20,976
  4. Step 4: Simplify right side
    37,970.88x = 1,099,153,307.52
  5. Step 5: Solve for x
    x = 1,099,153,307.52/37,970.88
  6. Step 6: Final answer
    x = 28,947.27

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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.