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Finding the Fourth Proportional to 46,007.80, 69,019.80 and 16,442.80

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Solution

The fourth proportional to 46,007.80, 69,019.80 and 16,442.80 is: 24,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,007.80 : 69,019.80 = 16,442.80 : x
  2. Step 2: Convert to fraction form
    46,007.80/69,019.80 = 16,442.80/x
  3. Step 3: Cross multiply
    46,007.80x = 69,019.80 × 16,442.80
  4. Step 4: Simplify right side
    46,007.80x = 1,134,878,767.44
  5. Step 5: Solve for x
    x = 1,134,878,767.44/46,007.80
  6. Step 6: Final answer
    x = 24,667.09

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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.