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Finding the Fourth Proportional to 34,039, 46,973.82 and 19,135

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Solution

The fourth proportional to 34,039, 46,973.82 and 19,135 is: 26,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039 : 46,973.82 = 19,135 : x
  2. Step 2: Convert to fraction form
    34,039/46,973.82 = 19,135/x
  3. Step 3: Cross multiply
    34,039x = 46,973.82 × 19,135
  4. Step 4: Simplify right side
    34,039x = 898,844,045.70
  5. Step 5: Solve for x
    x = 898,844,045.70/34,039
  6. Step 6: Final answer
    x = 26,406.30

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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.