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Finding the Fourth Proportional to 29,305.72, 40,442.08 and 16,385

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Solution

The fourth proportional to 29,305.72, 40,442.08 and 16,385 is: 22,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305.72 : 40,442.08 = 16,385 : x
  2. Step 2: Convert to fraction form
    29,305.72/40,442.08 = 16,385/x
  3. Step 3: Cross multiply
    29,305.72x = 40,442.08 × 16,385
  4. Step 4: Simplify right side
    29,305.72x = 662,643,480.80
  5. Step 5: Solve for x
    x = 662,643,480.80/29,305.72
  6. Step 6: Final answer
    x = 22,611.40

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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.