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Finding the Fourth Proportional to 30,594.38, 42,222.42 and 16,983.14

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Solution

The fourth proportional to 30,594.38, 42,222.42 and 16,983.14 is: 23,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.38 : 42,222.42 = 16,983.14 : x
  2. Step 2: Convert to fraction form
    30,594.38/42,222.42 = 16,983.14/x
  3. Step 3: Cross multiply
    30,594.38x = 42,222.42 × 16,983.14
  4. Step 4: Simplify right side
    30,594.38x = 717,069,058.89
  5. Step 5: Solve for x
    x = 717,069,058.89/30,594.38
  6. Step 6: Final answer
    x = 23,437.94

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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.