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Finding the Fourth Proportional to 29,702.70, 40,989.76 and 16,274.81

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Solution

The fourth proportional to 29,702.70, 40,989.76 and 16,274.81 is: 22,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.70 : 40,989.76 = 16,274.81 : x
  2. Step 2: Convert to fraction form
    29,702.70/40,989.76 = 16,274.81/x
  3. Step 3: Cross multiply
    29,702.70x = 40,989.76 × 16,274.81
  4. Step 4: Simplify right side
    29,702.70x = 667,100,474.57
  5. Step 5: Solve for x
    x = 667,100,474.57/29,702.70
  6. Step 6: Final answer
    x = 22,459.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.