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Finding the Fourth Proportional to 34,516.96, 51,775.57 and 10,501.50

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Solution

The fourth proportional to 34,516.96, 51,775.57 and 10,501.50 is: 15,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516.96 : 51,775.57 = 10,501.50 : x
  2. Step 2: Convert to fraction form
    34,516.96/51,775.57 = 10,501.50/x
  3. Step 3: Cross multiply
    34,516.96x = 51,775.57 × 10,501.50
  4. Step 4: Simplify right side
    34,516.96x = 543,721,122.10
  5. Step 5: Solve for x
    x = 543,721,122.10/34,516.96
  6. Step 6: Final answer
    x = 15,752.29

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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.