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Finding the Fourth Proportional to 32,900.58, 49,354.97 and 10,708

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Solution

The fourth proportional to 32,900.58, 49,354.97 and 10,708 is: 16,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900.58 : 49,354.97 = 10,708 : x
  2. Step 2: Convert to fraction form
    32,900.58/49,354.97 = 10,708/x
  3. Step 3: Cross multiply
    32,900.58x = 49,354.97 × 10,708
  4. Step 4: Simplify right side
    32,900.58x = 528,493,018.76
  5. Step 5: Solve for x
    x = 528,493,018.76/32,900.58
  6. Step 6: Final answer
    x = 16,063.33

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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.