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Finding the Fourth Proportional to 30,975.33, 42,746.16 and 16,828.17

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Solution

The fourth proportional to 30,975.33, 42,746.16 and 16,828.17 is: 23,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.33 : 42,746.16 = 16,828.17 : x
  2. Step 2: Convert to fraction form
    30,975.33/42,746.16 = 16,828.17/x
  3. Step 3: Cross multiply
    30,975.33x = 42,746.16 × 16,828.17
  4. Step 4: Simplify right side
    30,975.33x = 719,339,647.33
  5. Step 5: Solve for x
    x = 719,339,647.33/30,975.33
  6. Step 6: Final answer
    x = 23,222.99

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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.