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Finding the Fourth Proportional to 116,494, 174,741.08 and 28,942

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Solution

The fourth proportional to 116,494, 174,741.08 and 28,942 is: 43,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,494 : 174,741.08 = 28,942 : x
  2. Step 2: Convert to fraction form
    116,494/174,741.08 = 28,942/x
  3. Step 3: Cross multiply
    116,494x = 174,741.08 × 28,942
  4. Step 4: Simplify right side
    116,494x = 5,057,356,337.36
  5. Step 5: Solve for x
    x = 5,057,356,337.36/116,494
  6. Step 6: Final answer
    x = 43,413.02

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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.