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Finding the Fourth Proportional to 83,676.42, 115,476.12 and 45,950.67

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Solution

The fourth proportional to 83,676.42, 115,476.12 and 45,950.67 is: 63,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676.42 : 115,476.12 = 45,950.67 : x
  2. Step 2: Convert to fraction form
    83,676.42/115,476.12 = 45,950.67/x
  3. Step 3: Cross multiply
    83,676.42x = 115,476.12 × 45,950.67
  4. Step 4: Simplify right side
    83,676.42x = 5,306,205,083.00
  5. Step 5: Solve for x
    x = 5,306,205,083.00/83,676.42
  6. Step 6: Final answer
    x = 63,413.39

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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.