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Finding the Fourth Proportional to 46,285, 69,413.10 and 16,698.96

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Solution

The fourth proportional to 46,285, 69,413.10 and 16,698.96 is: 25,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,285 : 69,413.10 = 16,698.96 : x
  2. Step 2: Convert to fraction form
    46,285/69,413.10 = 16,698.96/x
  3. Step 3: Cross multiply
    46,285x = 69,413.10 × 16,698.96
  4. Step 4: Simplify right side
    46,285x = 1,159,126,580.38
  5. Step 5: Solve for x
    x = 1,159,126,580.38/46,285
  6. Step 6: Final answer
    x = 25,043.24

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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.