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Finding the Fourth Proportional to 94,009.50, 141,021.54 and 31,680

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Solution

The fourth proportional to 94,009.50, 141,021.54 and 31,680 is: 47,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,009.50 : 141,021.54 = 31,680 : x
  2. Step 2: Convert to fraction form
    94,009.50/141,021.54 = 31,680/x
  3. Step 3: Cross multiply
    94,009.50x = 141,021.54 × 31,680
  4. Step 4: Simplify right side
    94,009.50x = 4,467,562,387.20
  5. Step 5: Solve for x
    x = 4,467,562,387.20/94,009.50
  6. Step 6: Final answer
    x = 47,522.46

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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.