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Finding the Fourth Proportional to 32,398.50, 48,597.75 and 11,622

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Solution

The fourth proportional to 32,398.50, 48,597.75 and 11,622 is: 17,433

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.50 : 48,597.75 = 11,622 : x
  2. Step 2: Convert to fraction form
    32,398.50/48,597.75 = 11,622/x
  3. Step 3: Cross multiply
    32,398.50x = 48,597.75 × 11,622
  4. Step 4: Simplify right side
    32,398.50x = 564,803,050.50
  5. Step 5: Solve for x
    x = 564,803,050.50/32,398.50
  6. Step 6: Final answer
    x = 17,433

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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.