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Finding the Fourth Proportional to 34,537.17, 51,804.54 and 11,163

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Solution

The fourth proportional to 34,537.17, 51,804.54 and 11,163 is: 16,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537.17 : 51,804.54 = 11,163 : x
  2. Step 2: Convert to fraction form
    34,537.17/51,804.54 = 11,163/x
  3. Step 3: Cross multiply
    34,537.17x = 51,804.54 × 11,163
  4. Step 4: Simplify right side
    34,537.17x = 578,294,080.02
  5. Step 5: Solve for x
    x = 578,294,080.02/34,537.17
  6. Step 6: Final answer
    x = 16,744.11

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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.