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Finding the Fourth Proportional to 28,034.50, 42,052.84 and 9,566.50

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Solution

The fourth proportional to 28,034.50, 42,052.84 and 9,566.50 is: 14,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,034.50 : 42,052.84 = 9,566.50 : x
  2. Step 2: Convert to fraction form
    28,034.50/42,052.84 = 9,566.50/x
  3. Step 3: Cross multiply
    28,034.50x = 42,052.84 × 9,566.50
  4. Step 4: Simplify right side
    28,034.50x = 402,298,493.86
  5. Step 5: Solve for x
    x = 402,298,493.86/28,034.50
  6. Step 6: Final answer
    x = 14,350.12

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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.