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Finding the Fourth Proportional to 34,039.24, 46,973.70 and 19,135.24

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Solution

The fourth proportional to 34,039.24, 46,973.70 and 19,135.24 is: 26,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039.24 : 46,973.70 = 19,135.24 : x
  2. Step 2: Convert to fraction form
    34,039.24/46,973.70 = 19,135.24/x
  3. Step 3: Cross multiply
    34,039.24x = 46,973.70 × 19,135.24
  4. Step 4: Simplify right side
    34,039.24x = 898,853,023.19
  5. Step 5: Solve for x
    x = 898,853,023.19/34,039.24
  6. Step 6: Final answer
    x = 26,406.38

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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.