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Finding the Fourth Proportional to 34,697.98, 51,968.14 and 27,154.53

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Solution

The fourth proportional to 34,697.98, 51,968.14 and 27,154.53 is: 40,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.98 : 51,968.14 = 27,154.53 : x
  2. Step 2: Convert to fraction form
    34,697.98/51,968.14 = 27,154.53/x
  3. Step 3: Cross multiply
    34,697.98x = 51,968.14 × 27,154.53
  4. Step 4: Simplify right side
    34,697.98x = 1,411,170,416.67
  5. Step 5: Solve for x
    x = 1,411,170,416.67/34,697.98
  6. Step 6: Final answer
    x = 40,670.10

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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.