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Finding the Fourth Proportional to 34,041.38, 46,977.10 and 19,137.38

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Solution

The fourth proportional to 34,041.38, 46,977.10 and 19,137.38 is: 26,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041.38 : 46,977.10 = 19,137.38 : x
  2. Step 2: Convert to fraction form
    34,041.38/46,977.10 = 19,137.38/x
  3. Step 3: Cross multiply
    34,041.38x = 46,977.10 × 19,137.38
  4. Step 4: Simplify right side
    34,041.38x = 899,018,331.27
  5. Step 5: Solve for x
    x = 899,018,331.27/34,041.38
  6. Step 6: Final answer
    x = 26,409.58

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Why These Related Problems?

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