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Finding the Fourth Proportional to 97,549.92, 146,224.44 and 38,361.60

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Solution

The fourth proportional to 97,549.92, 146,224.44 and 38,361.60 is: 57,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,549.92 : 146,224.44 = 38,361.60 : x
  2. Step 2: Convert to fraction form
    97,549.92/146,224.44 = 38,361.60/x
  3. Step 3: Cross multiply
    97,549.92x = 146,224.44 × 38,361.60
  4. Step 4: Simplify right side
    97,549.92x = 5,609,403,477.50
  5. Step 5: Solve for x
    x = 5,609,403,477.50/97,549.92
  6. Step 6: Final answer
    x = 57,502.90

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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.