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Finding the Fourth Proportional to 34,056, 46,999.68 and 19,152

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Solution

The fourth proportional to 34,056, 46,999.68 and 19,152 is: 26,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 46,999.68 = 19,152 : x
  2. Step 2: Convert to fraction form
    34,056/46,999.68 = 19,152/x
  3. Step 3: Cross multiply
    34,056x = 46,999.68 × 19,152
  4. Step 4: Simplify right side
    34,056x = 900,137,871.36
  5. Step 5: Solve for x
    x = 900,137,871.36/34,056
  6. Step 6: Final answer
    x = 26,431.11

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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.