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Finding the Fourth Proportional to 94,059.12, 141,108.12 and 31,728

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Solution

The fourth proportional to 94,059.12, 141,108.12 and 31,728 is: 47,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,059.12 : 141,108.12 = 31,728 : x
  2. Step 2: Convert to fraction form
    94,059.12/141,108.12 = 31,728/x
  3. Step 3: Cross multiply
    94,059.12x = 141,108.12 × 31,728
  4. Step 4: Simplify right side
    94,059.12x = 4,477,078,431.36
  5. Step 5: Solve for x
    x = 4,477,078,431.36/94,059.12
  6. Step 6: Final answer
    x = 47,598.56

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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.