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Finding the Fourth Proportional to 19,325, 28,987.50 and 4,733

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Solution

The fourth proportional to 19,325, 28,987.50 and 4,733 is: 7,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,325 : 28,987.50 = 4,733 : x
  2. Step 2: Convert to fraction form
    19,325/28,987.50 = 4,733/x
  3. Step 3: Cross multiply
    19,325x = 28,987.50 × 4,733
  4. Step 4: Simplify right side
    19,325x = 137,197,837.50
  5. Step 5: Solve for x
    x = 137,197,837.50/19,325
  6. Step 6: Final answer
    x = 7,099.50

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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.