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Finding the Fourth Proportional to 34,657.83, 51,981.03 and 12,467.07

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Solution

The fourth proportional to 34,657.83, 51,981.03 and 12,467.07 is: 18,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.83 : 51,981.03 = 12,467.07 : x
  2. Step 2: Convert to fraction form
    34,657.83/51,981.03 = 12,467.07/x
  3. Step 3: Cross multiply
    34,657.83x = 51,981.03 × 12,467.07
  4. Step 4: Simplify right side
    34,657.83x = 648,051,139.68
  5. Step 5: Solve for x
    x = 648,051,139.68/34,657.83
  6. Step 6: Final answer
    x = 18,698.55

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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.