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Finding the Fourth Proportional to 28,033, 42,049.50 and 11,402.08

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Solution

The fourth proportional to 28,033, 42,049.50 and 11,402.08 is: 17,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,033 : 42,049.50 = 11,402.08 : x
  2. Step 2: Convert to fraction form
    28,033/42,049.50 = 11,402.08/x
  3. Step 3: Cross multiply
    28,033x = 42,049.50 × 11,402.08
  4. Step 4: Simplify right side
    28,033x = 479,451,762.96
  5. Step 5: Solve for x
    x = 479,451,762.96/28,033
  6. Step 6: Final answer
    x = 17,103.12

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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.