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Finding the Fourth Proportional to 29,492.75, 40,700 and 16,244.75

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Solution

The fourth proportional to 29,492.75, 40,700 and 16,244.75 is: 22,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,492.75 : 40,700 = 16,244.75 : x
  2. Step 2: Convert to fraction form
    29,492.75/40,700 = 16,244.75/x
  3. Step 3: Cross multiply
    29,492.75x = 40,700 × 16,244.75
  4. Step 4: Simplify right side
    29,492.75x = 661,161,325
  5. Step 5: Solve for x
    x = 661,161,325/29,492.75
  6. Step 6: Final answer
    x = 22,417.76

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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.