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Finding the Fourth Proportional to 30,970.23, 42,738.87 and 16,823.10

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Solution

The fourth proportional to 30,970.23, 42,738.87 and 16,823.10 is: 23,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.23 : 42,738.87 = 16,823.10 : x
  2. Step 2: Convert to fraction form
    30,970.23/42,738.87 = 16,823.10/x
  3. Step 3: Cross multiply
    30,970.23x = 42,738.87 × 16,823.10
  4. Step 4: Simplify right side
    30,970.23x = 719,000,283.90
  5. Step 5: Solve for x
    x = 719,000,283.90/30,970.23
  6. Step 6: Final answer
    x = 23,215.85

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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.