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Finding the Fourth Proportional to 34,580.16, 47,723.04 and 19,676.16

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Solution

The fourth proportional to 34,580.16, 47,723.04 and 19,676.16 is: 27,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.16 : 47,723.04 = 19,676.16 : x
  2. Step 2: Convert to fraction form
    34,580.16/47,723.04 = 19,676.16/x
  3. Step 3: Cross multiply
    34,580.16x = 47,723.04 × 19,676.16
  4. Step 4: Simplify right side
    34,580.16x = 939,006,170.73
  5. Step 5: Solve for x
    x = 939,006,170.73/34,580.16
  6. Step 6: Final answer
    x = 27,154.48

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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.