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Finding the Fourth Proportional to 30,416.40, 42,114.60 and 28,083.60

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Solution

The fourth proportional to 30,416.40, 42,114.60 and 28,083.60 is: 38,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.40 : 42,114.60 = 28,083.60 : x
  2. Step 2: Convert to fraction form
    30,416.40/42,114.60 = 28,083.60/x
  3. Step 3: Cross multiply
    30,416.40x = 42,114.60 × 28,083.60
  4. Step 4: Simplify right side
    30,416.40x = 1,182,729,580.56
  5. Step 5: Solve for x
    x = 1,182,729,580.56/30,416.40
  6. Step 6: Final answer
    x = 38,884.60

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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.