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Finding the Fourth Proportional to 60,096, 90,145.23 and 18,543

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Solution

The fourth proportional to 60,096, 90,145.23 and 18,543 is: 27,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,096 : 90,145.23 = 18,543 : x
  2. Step 2: Convert to fraction form
    60,096/90,145.23 = 18,543/x
  3. Step 3: Cross multiply
    60,096x = 90,145.23 × 18,543
  4. Step 4: Simplify right side
    60,096x = 1,671,562,999.89
  5. Step 5: Solve for x
    x = 1,671,562,999.89/60,096
  6. Step 6: Final answer
    x = 27,814.88

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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.