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Finding the Fourth Proportional to 30,334.40, 42,001.44 and 28,001.60

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Solution

The fourth proportional to 30,334.40, 42,001.44 and 28,001.60 is: 38,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.40 : 42,001.44 = 28,001.60 : x
  2. Step 2: Convert to fraction form
    30,334.40/42,001.44 = 28,001.60/x
  3. Step 3: Cross multiply
    30,334.40x = 42,001.44 × 28,001.60
  4. Step 4: Simplify right side
    30,334.40x = 1,176,107,522.30
  5. Step 5: Solve for x
    x = 1,176,107,522.30/30,334.40
  6. Step 6: Final answer
    x = 38,771.41

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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.