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Finding the Fourth Proportional to 32,960.69, 49,458.47 and 17,978.63

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Solution

The fourth proportional to 32,960.69, 49,458.47 and 17,978.63 is: 26,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.69 : 49,458.47 = 17,978.63 : x
  2. Step 2: Convert to fraction form
    32,960.69/49,458.47 = 17,978.63/x
  3. Step 3: Cross multiply
    32,960.69x = 49,458.47 × 17,978.63
  4. Step 4: Simplify right side
    32,960.69x = 889,195,532.50
  5. Step 5: Solve for x
    x = 889,195,532.50/32,960.69
  6. Step 6: Final answer
    x = 26,977.46

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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.