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Finding the Fourth Proportional to 46,139, 69,208.50 and 16,558.64

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Solution

The fourth proportional to 46,139, 69,208.50 and 16,558.64 is: 24,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,139 : 69,208.50 = 16,558.64 : x
  2. Step 2: Convert to fraction form
    46,139/69,208.50 = 16,558.64/x
  3. Step 3: Cross multiply
    46,139x = 69,208.50 × 16,558.64
  4. Step 4: Simplify right side
    46,139x = 1,145,998,636.44
  5. Step 5: Solve for x
    x = 1,145,998,636.44/46,139
  6. Step 6: Final answer
    x = 24,837.96

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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.