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Finding the Fourth Proportional to 34,600, 51,936.96 and 14,888.32

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Solution

The fourth proportional to 34,600, 51,936.96 and 14,888.32 is: 22,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600 : 51,936.96 = 14,888.32 : x
  2. Step 2: Convert to fraction form
    34,600/51,936.96 = 14,888.32/x
  3. Step 3: Cross multiply
    34,600x = 51,936.96 × 14,888.32
  4. Step 4: Simplify right side
    34,600x = 773,254,080.31
  5. Step 5: Solve for x
    x = 773,254,080.31/34,600
  6. Step 6: Final answer
    x = 22,348.38

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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.