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Finding the Fourth Proportional to 46,737, 70,105.65 and 11,676.66

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Solution

The fourth proportional to 46,737, 70,105.65 and 11,676.66 is: 17,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 70,105.65 = 11,676.66 : x
  2. Step 2: Convert to fraction form
    46,737/70,105.65 = 11,676.66/x
  3. Step 3: Cross multiply
    46,737x = 70,105.65 × 11,676.66
  4. Step 4: Simplify right side
    46,737x = 818,599,839.13
  5. Step 5: Solve for x
    x = 818,599,839.13/46,737
  6. Step 6: Final answer
    x = 17,515.03

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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.