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Finding the Fourth Proportional to 65,931.66, 98,900.23 and 19,184.54

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Solution

The fourth proportional to 65,931.66, 98,900.23 and 19,184.54 is: 28,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,931.66 : 98,900.23 = 19,184.54 : x
  2. Step 2: Convert to fraction form
    65,931.66/98,900.23 = 19,184.54/x
  3. Step 3: Cross multiply
    65,931.66x = 98,900.23 × 19,184.54
  4. Step 4: Simplify right side
    65,931.66x = 1,897,355,418.44
  5. Step 5: Solve for x
    x = 1,897,355,418.44/65,931.66
  6. Step 6: Final answer
    x = 28,777.61

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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.