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Finding the Fourth Proportional to 94,011.50, 141,024.54 and 31,682

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Solution

The fourth proportional to 94,011.50, 141,024.54 and 31,682 is: 47,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,011.50 : 141,024.54 = 31,682 : x
  2. Step 2: Convert to fraction form
    94,011.50/141,024.54 = 31,682/x
  3. Step 3: Cross multiply
    94,011.50x = 141,024.54 × 31,682
  4. Step 4: Simplify right side
    94,011.50x = 4,467,939,476.28
  5. Step 5: Solve for x
    x = 4,467,939,476.28/94,011.50
  6. Step 6: Final answer
    x = 47,525.46

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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.