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Finding the Fourth Proportional to 76,052.85, 114,085.88 and 19,892.71

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Solution

The fourth proportional to 76,052.85, 114,085.88 and 19,892.71 is: 29,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,052.85 : 114,085.88 = 19,892.71 : x
  2. Step 2: Convert to fraction form
    76,052.85/114,085.88 = 19,892.71/x
  3. Step 3: Cross multiply
    76,052.85x = 114,085.88 × 19,892.71
  4. Step 4: Simplify right side
    76,052.85x = 2,269,477,325.93
  5. Step 5: Solve for x
    x = 2,269,477,325.93/76,052.85
  6. Step 6: Final answer
    x = 29,840.79

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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.