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Finding the Fourth Proportional to 51,428.83, 70,943.21 and 29,916.16

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Solution

The fourth proportional to 51,428.83, 70,943.21 and 29,916.16 is: 41,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.83 : 70,943.21 = 29,916.16 : x
  2. Step 2: Convert to fraction form
    51,428.83/70,943.21 = 29,916.16/x
  3. Step 3: Cross multiply
    51,428.83x = 70,943.21 × 29,916.16
  4. Step 4: Simplify right side
    51,428.83x = 2,122,347,916.98
  5. Step 5: Solve for x
    x = 2,122,347,916.98/51,428.83
  6. Step 6: Final answer
    x = 41,267.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.