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Finding the Fourth Proportional to 34,984.17, 52,459.25 and 12,782.48

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Solution

The fourth proportional to 34,984.17, 52,459.25 and 12,782.48 is: 19,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984.17 : 52,459.25 = 12,782.48 : x
  2. Step 2: Convert to fraction form
    34,984.17/52,459.25 = 12,782.48/x
  3. Step 3: Cross multiply
    34,984.17x = 52,459.25 × 12,782.48
  4. Step 4: Simplify right side
    34,984.17x = 670,558,987.73
  5. Step 5: Solve for x
    x = 670,558,987.73/34,984.17
  6. Step 6: Final answer
    x = 19,167.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.