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Finding the Fourth Proportional to 52,191, 72,024.84 and 30,970.44

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Solution

The fourth proportional to 52,191, 72,024.84 and 30,970.44 is: 42,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,191 : 72,024.84 = 30,970.44 : x
  2. Step 2: Convert to fraction form
    52,191/72,024.84 = 30,970.44/x
  3. Step 3: Cross multiply
    52,191x = 72,024.84 × 30,970.44
  4. Step 4: Simplify right side
    52,191x = 2,230,640,985.73
  5. Step 5: Solve for x
    x = 2,230,640,985.73/52,191
  6. Step 6: Final answer
    x = 42,739.95

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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.