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Finding the Fourth Proportional to 30,975.95, 42,747.33 and 16,828.80

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Solution

The fourth proportional to 30,975.95, 42,747.33 and 16,828.80 is: 23,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.95 : 42,747.33 = 16,828.80 : x
  2. Step 2: Convert to fraction form
    30,975.95/42,747.33 = 16,828.80/x
  3. Step 3: Cross multiply
    30,975.95x = 42,747.33 × 16,828.80
  4. Step 4: Simplify right side
    30,975.95x = 719,386,267.10
  5. Step 5: Solve for x
    x = 719,386,267.10/30,975.95
  6. Step 6: Final answer
    x = 23,224.03

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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.