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Finding the Fourth Proportional to 29,784.68, 41,102.90 and 16,356.80

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Solution

The fourth proportional to 29,784.68, 41,102.90 and 16,356.80 is: 22,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.68 : 41,102.90 = 16,356.80 : x
  2. Step 2: Convert to fraction form
    29,784.68/41,102.90 = 16,356.80/x
  3. Step 3: Cross multiply
    29,784.68x = 41,102.90 × 16,356.80
  4. Step 4: Simplify right side
    29,784.68x = 672,311,627.42
  5. Step 5: Solve for x
    x = 672,311,627.42/29,784.68
  6. Step 6: Final answer
    x = 22,572.40

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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.