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Finding the Fourth Proportional to 31,682.70, 47,503.99 and 26,984.29

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Solution

The fourth proportional to 31,682.70, 47,503.99 and 26,984.29 is: 40,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.70 : 47,503.99 = 26,984.29 : x
  2. Step 2: Convert to fraction form
    31,682.70/47,503.99 = 26,984.29/x
  3. Step 3: Cross multiply
    31,682.70x = 47,503.99 × 26,984.29
  4. Step 4: Simplify right side
    31,682.70x = 1,281,861,442.32
  5. Step 5: Solve for x
    x = 1,281,861,442.32/31,682.70
  6. Step 6: Final answer
    x = 40,459.35

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1.5x scale

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.