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Finding the Fourth Proportional to 32,397, 48,595.50 and 11,620.50

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Solution

The fourth proportional to 32,397, 48,595.50 and 11,620.50 is: 17,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,397 : 48,595.50 = 11,620.50 : x
  2. Step 2: Convert to fraction form
    32,397/48,595.50 = 11,620.50/x
  3. Step 3: Cross multiply
    32,397x = 48,595.50 × 11,620.50
  4. Step 4: Simplify right side
    32,397x = 564,704,007.75
  5. Step 5: Solve for x
    x = 564,704,007.75/32,397
  6. Step 6: Final answer
    x = 17,430.75

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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.