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Finding the Fourth Proportional to 46,048.76, 69,063 and 16,468.64

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Solution

The fourth proportional to 46,048.76, 69,063 and 16,468.64 is: 24,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048.76 : 69,063 = 16,468.64 : x
  2. Step 2: Convert to fraction form
    46,048.76/69,063 = 16,468.64/x
  3. Step 3: Cross multiply
    46,048.76x = 69,063 × 16,468.64
  4. Step 4: Simplify right side
    46,048.76x = 1,137,373,684.32
  5. Step 5: Solve for x
    x = 1,137,373,684.32/46,048.76
  6. Step 6: Final answer
    x = 24,699.33

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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.