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Finding the Fourth Proportional to 97,487.40, 146,119.01 and 44,786.16

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Solution

The fourth proportional to 97,487.40, 146,119.01 and 44,786.16 is: 67,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,487.40 : 146,119.01 = 44,786.16 : x
  2. Step 2: Convert to fraction form
    97,487.40/146,119.01 = 44,786.16/x
  3. Step 3: Cross multiply
    97,487.40x = 146,119.01 × 44,786.16
  4. Step 4: Simplify right side
    97,487.40x = 6,544,109,136.97
  5. Step 5: Solve for x
    x = 6,544,109,136.97/97,487.40
  6. Step 6: Final answer
    x = 67,127.74

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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.