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Finding the Fourth Proportional to 34,699.98, 51,971.14 and 27,156.54

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Solution

The fourth proportional to 34,699.98, 51,971.14 and 27,156.54 is: 40,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699.98 : 51,971.14 = 27,156.54 : x
  2. Step 2: Convert to fraction form
    34,699.98/51,971.14 = 27,156.54/x
  3. Step 3: Cross multiply
    34,699.98x = 51,971.14 × 27,156.54
  4. Step 4: Simplify right side
    34,699.98x = 1,411,356,342.26
  5. Step 5: Solve for x
    x = 1,411,356,342.26/34,699.98
  6. Step 6: Final answer
    x = 40,673.12

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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.