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Finding the Fourth Proportional to 34,154.25, 51,240.06 and 9,530.25

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Solution

The fourth proportional to 34,154.25, 51,240.06 and 9,530.25 is: 14,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.25 : 51,240.06 = 9,530.25 : x
  2. Step 2: Convert to fraction form
    34,154.25/51,240.06 = 9,530.25/x
  3. Step 3: Cross multiply
    34,154.25x = 51,240.06 × 9,530.25
  4. Step 4: Simplify right side
    34,154.25x = 488,330,581.82
  5. Step 5: Solve for x
    x = 488,330,581.82/34,154.25
  6. Step 6: Final answer
    x = 14,297.80

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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.