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Finding the Fourth Proportional to 28,331.40, 42,495.30 and 9,611.40

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Solution

The fourth proportional to 28,331.40, 42,495.30 and 9,611.40 is: 14,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,331.40 : 42,495.30 = 9,611.40 : x
  2. Step 2: Convert to fraction form
    28,331.40/42,495.30 = 9,611.40/x
  3. Step 3: Cross multiply
    28,331.40x = 42,495.30 × 9,611.40
  4. Step 4: Simplify right side
    28,331.40x = 408,439,326.42
  5. Step 5: Solve for x
    x = 408,439,326.42/28,331.40
  6. Step 6: Final answer
    x = 14,416.49

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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.