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Finding the Fourth Proportional to 29,702.68, 40,989.67 and 16,274.77

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Solution

The fourth proportional to 29,702.68, 40,989.67 and 16,274.77 is: 22,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.68 : 40,989.67 = 16,274.77 : x
  2. Step 2: Convert to fraction form
    29,702.68/40,989.67 = 16,274.77/x
  3. Step 3: Cross multiply
    29,702.68x = 40,989.67 × 16,274.77
  4. Step 4: Simplify right side
    29,702.68x = 667,097,451.63
  5. Step 5: Solve for x
    x = 667,097,451.63/29,702.68
  6. Step 6: Final answer
    x = 22,459.17

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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.