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Finding the Fourth Proportional to 30,875.84, 42,608.39 and 16,728.65

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Solution

The fourth proportional to 30,875.84, 42,608.39 and 16,728.65 is: 23,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.84 : 42,608.39 = 16,728.65 : x
  2. Step 2: Convert to fraction form
    30,875.84/42,608.39 = 16,728.65/x
  3. Step 3: Cross multiply
    30,875.84x = 42,608.39 × 16,728.65
  4. Step 4: Simplify right side
    30,875.84x = 712,780,546.69
  5. Step 5: Solve for x
    x = 712,780,546.69/30,875.84
  6. Step 6: Final answer
    x = 23,085.39

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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.