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Finding the Fourth Proportional to 53,852.68, 80,772.54 and 14,413.96

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Solution

The fourth proportional to 53,852.68, 80,772.54 and 14,413.96 is: 21,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852.68 : 80,772.54 = 14,413.96 : x
  2. Step 2: Convert to fraction form
    53,852.68/80,772.54 = 14,413.96/x
  3. Step 3: Cross multiply
    53,852.68x = 80,772.54 × 14,413.96
  4. Step 4: Simplify right side
    53,852.68x = 1,164,252,160.66
  5. Step 5: Solve for x
    x = 1,164,252,160.66/53,852.68
  6. Step 6: Final answer
    x = 21,619.21

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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.