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Finding the Fourth Proportional to 35,874.96, 49,484.40 and 23,144.40

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Solution

The fourth proportional to 35,874.96, 49,484.40 and 23,144.40 is: 31,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.96 : 49,484.40 = 23,144.40 : x
  2. Step 2: Convert to fraction form
    35,874.96/49,484.40 = 23,144.40/x
  3. Step 3: Cross multiply
    35,874.96x = 49,484.40 × 23,144.40
  4. Step 4: Simplify right side
    35,874.96x = 1,145,286,747.36
  5. Step 5: Solve for x
    x = 1,145,286,747.36/35,874.96
  6. Step 6: Final answer
    x = 31,924.40

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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.