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Finding the Fourth Proportional to 53,413.80, 80,099.10 and 18,335.40

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Solution

The fourth proportional to 53,413.80, 80,099.10 and 18,335.40 is: 27,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.80 : 80,099.10 = 18,335.40 : x
  2. Step 2: Convert to fraction form
    53,413.80/80,099.10 = 18,335.40/x
  3. Step 3: Cross multiply
    53,413.80x = 80,099.10 × 18,335.40
  4. Step 4: Simplify right side
    53,413.80x = 1,468,649,038.14
  5. Step 5: Solve for x
    x = 1,468,649,038.14/53,413.80
  6. Step 6: Final answer
    x = 27,495.69

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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.