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Finding the Fourth Proportional to 46,602.68, 69,841.64 and 16,992.59

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Solution

The fourth proportional to 46,602.68, 69,841.64 and 16,992.59 is: 25,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,602.68 : 69,841.64 = 16,992.59 : x
  2. Step 2: Convert to fraction form
    46,602.68/69,841.64 = 16,992.59/x
  3. Step 3: Cross multiply
    46,602.68x = 69,841.64 × 16,992.59
  4. Step 4: Simplify right side
    46,602.68x = 1,186,790,046.72
  5. Step 5: Solve for x
    x = 1,186,790,046.72/46,602.68
  6. Step 6: Final answer
    x = 25,466.14

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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.