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Finding the Fourth Proportional to 30,875.40, 42,608.09 and 16,728.23

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Solution

The fourth proportional to 30,875.40, 42,608.09 and 16,728.23 is: 23,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.40 : 42,608.09 = 16,728.23 : x
  2. Step 2: Convert to fraction form
    30,875.40/42,608.09 = 16,728.23/x
  3. Step 3: Cross multiply
    30,875.40x = 42,608.09 × 16,728.23
  4. Step 4: Simplify right side
    30,875.40x = 712,758,077.72
  5. Step 5: Solve for x
    x = 712,758,077.72/30,875.40
  6. Step 6: Final answer
    x = 23,084.98

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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.