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Finding the Fourth Proportional to 29,154.90, 43,733.73 and 9,435

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Solution

The fourth proportional to 29,154.90, 43,733.73 and 9,435 is: 14,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154.90 : 43,733.73 = 9,435 : x
  2. Step 2: Convert to fraction form
    29,154.90/43,733.73 = 9,435/x
  3. Step 3: Cross multiply
    29,154.90x = 43,733.73 × 9,435
  4. Step 4: Simplify right side
    29,154.90x = 412,627,742.55
  5. Step 5: Solve for x
    x = 412,627,742.55/29,154.90
  6. Step 6: Final answer
    x = 14,152.95

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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.