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Finding the Fourth Proportional to 30,810.32, 42,498.67 and 20,200.64

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Solution

The fourth proportional to 30,810.32, 42,498.67 and 20,200.64 is: 27,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.32 : 42,498.67 = 20,200.64 : x
  2. Step 2: Convert to fraction form
    30,810.32/42,498.67 = 20,200.64/x
  3. Step 3: Cross multiply
    30,810.32x = 42,498.67 × 20,200.64
  4. Step 4: Simplify right side
    30,810.32x = 858,500,333.15
  5. Step 5: Solve for x
    x = 858,500,333.15/30,810.32
  6. Step 6: Final answer
    x = 27,864.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.