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Finding the Fourth Proportional to 30,970.17, 42,738.75 and 16,823.25

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Solution

The fourth proportional to 30,970.17, 42,738.75 and 16,823.25 is: 23,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.17 : 42,738.75 = 16,823.25 : x
  2. Step 2: Convert to fraction form
    30,970.17/42,738.75 = 16,823.25/x
  3. Step 3: Cross multiply
    30,970.17x = 42,738.75 × 16,823.25
  4. Step 4: Simplify right side
    30,970.17x = 719,004,675.94
  5. Step 5: Solve for x
    x = 719,004,675.94/30,970.17
  6. Step 6: Final answer
    x = 23,216.04

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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.