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Finding the Fourth Proportional to 30,698.94, 46,046.52 and 10,976.52

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Solution

The fourth proportional to 30,698.94, 46,046.52 and 10,976.52 is: 16,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.94 : 46,046.52 = 10,976.52 : x
  2. Step 2: Convert to fraction form
    30,698.94/46,046.52 = 10,976.52/x
  3. Step 3: Cross multiply
    30,698.94x = 46,046.52 × 10,976.52
  4. Step 4: Simplify right side
    30,698.94x = 505,430,547.71
  5. Step 5: Solve for x
    x = 505,430,547.71/30,698.94
  6. Step 6: Final answer
    x = 16,464.10

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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.