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Finding the Fourth Proportional to 97,009.92, 133,858.56 and 61,219.68

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Solution

The fourth proportional to 97,009.92, 133,858.56 and 61,219.68 is: 84,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,009.92 : 133,858.56 = 61,219.68 : x
  2. Step 2: Convert to fraction form
    97,009.92/133,858.56 = 61,219.68/x
  3. Step 3: Cross multiply
    97,009.92x = 133,858.56 × 61,219.68
  4. Step 4: Simplify right side
    97,009.92x = 8,194,778,208.46
  5. Step 5: Solve for x
    x = 8,194,778,208.46/97,009.92
  6. Step 6: Final answer
    x = 84,473.61

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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.