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Finding the Fourth Proportional to 51,113, 76,670.19 and 16,052.66

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Solution

The fourth proportional to 51,113, 76,670.19 and 16,052.66 is: 24,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,113 : 76,670.19 = 16,052.66 : x
  2. Step 2: Convert to fraction form
    51,113/76,670.19 = 16,052.66/x
  3. Step 3: Cross multiply
    51,113x = 76,670.19 × 16,052.66
  4. Step 4: Simplify right side
    51,113x = 1,230,760,492.21
  5. Step 5: Solve for x
    x = 1,230,760,492.21/51,113
  6. Step 6: Final answer
    x = 24,079.21

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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.