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Finding the Fourth Proportional to 30,870.88, 46,302.66 and 8,073.22

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Solution

The fourth proportional to 30,870.88, 46,302.66 and 8,073.22 is: 12,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.88 : 46,302.66 = 8,073.22 : x
  2. Step 2: Convert to fraction form
    30,870.88/46,302.66 = 8,073.22/x
  3. Step 3: Cross multiply
    30,870.88x = 46,302.66 × 8,073.22
  4. Step 4: Simplify right side
    30,870.88x = 373,811,560.77
  5. Step 5: Solve for x
    x = 373,811,560.77/30,870.88
  6. Step 6: Final answer
    x = 12,108.87

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