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Finding the Fourth Proportional to 34,655.94, 51,940.84 and 15,916.10

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Solution

The fourth proportional to 34,655.94, 51,940.84 and 15,916.10 is: 23,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,655.94 : 51,940.84 = 15,916.10 : x
  2. Step 2: Convert to fraction form
    34,655.94/51,940.84 = 15,916.10/x
  3. Step 3: Cross multiply
    34,655.94x = 51,940.84 × 15,916.10
  4. Step 4: Simplify right side
    34,655.94x = 826,695,603.52
  5. Step 5: Solve for x
    x = 826,695,603.52/34,655.94
  6. Step 6: Final answer
    x = 23,854.37

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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.