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Finding the Fourth Proportional to 30,783.66, 42,481.46 and 16,636.51

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Solution

The fourth proportional to 30,783.66, 42,481.46 and 16,636.51 is: 22,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.66 : 42,481.46 = 16,636.51 : x
  2. Step 2: Convert to fraction form
    30,783.66/42,481.46 = 16,636.51/x
  3. Step 3: Cross multiply
    30,783.66x = 42,481.46 × 16,636.51
  4. Step 4: Simplify right side
    30,783.66x = 706,742,938.51
  5. Step 5: Solve for x
    x = 706,742,938.51/30,783.66
  6. Step 6: Final answer
    x = 22,958.38

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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.