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Finding the Fourth Proportional to 115,465.50, 173,204.82 and 32,365.98

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Solution

The fourth proportional to 115,465.50, 173,204.82 and 32,365.98 is: 48,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,465.50 : 173,204.82 = 32,365.98 : x
  2. Step 2: Convert to fraction form
    115,465.50/173,204.82 = 32,365.98/x
  3. Step 3: Cross multiply
    115,465.50x = 173,204.82 × 32,365.98
  4. Step 4: Simplify right side
    115,465.50x = 5,605,943,740.02
  5. Step 5: Solve for x
    x = 5,605,943,740.02/115,465.50
  6. Step 6: Final answer
    x = 48,550.81

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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.