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Finding the Fourth Proportional to 46,409.67, 69,456.83 and 28,651.64

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Solution

The fourth proportional to 46,409.67, 69,456.83 and 28,651.64 is: 42,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.67 : 69,456.83 = 28,651.64 : x
  2. Step 2: Convert to fraction form
    46,409.67/69,456.83 = 28,651.64/x
  3. Step 3: Cross multiply
    46,409.67x = 69,456.83 × 28,651.64
  4. Step 4: Simplify right side
    46,409.67x = 1,990,051,598.16
  5. Step 5: Solve for x
    x = 1,990,051,598.16/46,409.67
  6. Step 6: Final answer
    x = 42,880.11

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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.