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Finding the Fourth Proportional to 30,970.42, 42,739.38 and 16,823.26

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Solution

The fourth proportional to 30,970.42, 42,739.38 and 16,823.26 is: 23,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.42 : 42,739.38 = 16,823.26 : x
  2. Step 2: Convert to fraction form
    30,970.42/42,739.38 = 16,823.26/x
  3. Step 3: Cross multiply
    30,970.42x = 42,739.38 × 16,823.26
  4. Step 4: Simplify right side
    30,970.42x = 719,015,701.98
  5. Step 5: Solve for x
    x = 719,015,701.98/30,970.42
  6. Step 6: Final answer
    x = 23,216.21

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Why These Related Problems?

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