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Finding the Fourth Proportional to 35,884.40, 53,729.40 and 28,108.40

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Solution

The fourth proportional to 35,884.40, 53,729.40 and 28,108.40 is: 42,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,884.40 : 53,729.40 = 28,108.40 : x
  2. Step 2: Convert to fraction form
    35,884.40/53,729.40 = 28,108.40/x
  3. Step 3: Cross multiply
    35,884.40x = 53,729.40 × 28,108.40
  4. Step 4: Simplify right side
    35,884.40x = 1,510,247,466.96
  5. Step 5: Solve for x
    x = 1,510,247,466.96/35,884.40
  6. Step 6: Final answer
    x = 42,086.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.