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Finding the Fourth Proportional to 28,297.52, 42,446.30 and 9,829.52

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Solution

The fourth proportional to 28,297.52, 42,446.30 and 9,829.52 is: 14,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,297.52 : 42,446.30 = 9,829.52 : x
  2. Step 2: Convert to fraction form
    28,297.52/42,446.30 = 9,829.52/x
  3. Step 3: Cross multiply
    28,297.52x = 42,446.30 × 9,829.52
  4. Step 4: Simplify right side
    28,297.52x = 417,226,754.78
  5. Step 5: Solve for x
    x = 417,226,754.78/28,297.52
  6. Step 6: Final answer
    x = 14,744.29

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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.