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Finding the Fourth Proportional to 30,595.38, 42,223.80 and 16,984.14

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Solution

The fourth proportional to 30,595.38, 42,223.80 and 16,984.14 is: 23,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.38 : 42,223.80 = 16,984.14 : x
  2. Step 2: Convert to fraction form
    30,595.38/42,223.80 = 16,984.14/x
  3. Step 3: Cross multiply
    30,595.38x = 42,223.80 × 16,984.14
  4. Step 4: Simplify right side
    30,595.38x = 717,134,930.53
  5. Step 5: Solve for x
    x = 717,134,930.53/30,595.38
  6. Step 6: Final answer
    x = 23,439.32

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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.