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Finding the Fourth Proportional to 97,804.92, 134,971.20 and 55,371.62

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Solution

The fourth proportional to 97,804.92, 134,971.20 and 55,371.62 is: 76,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,804.92 : 134,971.20 = 55,371.62 : x
  2. Step 2: Convert to fraction form
    97,804.92/134,971.20 = 55,371.62/x
  3. Step 3: Cross multiply
    97,804.92x = 134,971.20 × 55,371.62
  4. Step 4: Simplify right side
    97,804.92x = 7,473,573,997.34
  5. Step 5: Solve for x
    x = 7,473,573,997.34/97,804.92
  6. Step 6: Final answer
    x = 76,413.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.