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Finding the Fourth Proportional to 34,746.50, 52,119.02 and 8,451.38

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Solution

The fourth proportional to 34,746.50, 52,119.02 and 8,451.38 is: 12,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746.50 : 52,119.02 = 8,451.38 : x
  2. Step 2: Convert to fraction form
    34,746.50/52,119.02 = 8,451.38/x
  3. Step 3: Cross multiply
    34,746.50x = 52,119.02 × 8,451.38
  4. Step 4: Simplify right side
    34,746.50x = 440,477,643.25
  5. Step 5: Solve for x
    x = 440,477,643.25/34,746.50
  6. Step 6: Final answer
    x = 12,676.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.