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Finding the Fourth Proportional to 97,448.28, 146,172.42 and 36,669.98

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Solution

The fourth proportional to 97,448.28, 146,172.42 and 36,669.98 is: 55,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,448.28 : 146,172.42 = 36,669.98 : x
  2. Step 2: Convert to fraction form
    97,448.28/146,172.42 = 36,669.98/x
  3. Step 3: Cross multiply
    97,448.28x = 146,172.42 × 36,669.98
  4. Step 4: Simplify right side
    97,448.28x = 5,360,138,987.09
  5. Step 5: Solve for x
    x = 5,360,138,987.09/97,448.28
  6. Step 6: Final answer
    x = 55,004.96

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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.