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Finding the Fourth Proportional to 28,157.61, 42,245.79 and 9,439.50

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Solution

The fourth proportional to 28,157.61, 42,245.79 and 9,439.50 is: 14,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.61 : 42,245.79 = 9,439.50 : x
  2. Step 2: Convert to fraction form
    28,157.61/42,245.79 = 9,439.50/x
  3. Step 3: Cross multiply
    28,157.61x = 42,245.79 × 9,439.50
  4. Step 4: Simplify right side
    28,157.61x = 398,779,134.71
  5. Step 5: Solve for x
    x = 398,779,134.71/28,157.61
  6. Step 6: Final answer
    x = 14,162.39

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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.