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Finding the Fourth Proportional to 34,698.68, 52,047.86 and 8,403.43

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Solution

The fourth proportional to 34,698.68, 52,047.86 and 8,403.43 is: 12,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698.68 : 52,047.86 = 8,403.43 : x
  2. Step 2: Convert to fraction form
    34,698.68/52,047.86 = 8,403.43/x
  3. Step 3: Cross multiply
    34,698.68x = 52,047.86 × 8,403.43
  4. Step 4: Simplify right side
    34,698.68x = 437,380,473.61
  5. Step 5: Solve for x
    x = 437,380,473.61/34,698.68
  6. Step 6: Final answer
    x = 12,605.10

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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.