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Finding the Fourth Proportional to 34,938.41, 52,406.98 and 8,643.14

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Solution

The fourth proportional to 34,938.41, 52,406.98 and 8,643.14 is: 12,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.41 : 52,406.98 = 8,643.14 : x
  2. Step 2: Convert to fraction form
    34,938.41/52,406.98 = 8,643.14/x
  3. Step 3: Cross multiply
    34,938.41x = 52,406.98 × 8,643.14
  4. Step 4: Simplify right side
    34,938.41x = 452,960,778.00
  5. Step 5: Solve for x
    x = 452,960,778.00/34,938.41
  6. Step 6: Final answer
    x = 12,964.55

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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.