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Finding the Fourth Proportional to 98,588.36, 147,823.43 and 45,213.48

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Solution

The fourth proportional to 98,588.36, 147,823.43 and 45,213.48 is: 67,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,588.36 : 147,823.43 = 45,213.48 : x
  2. Step 2: Convert to fraction form
    98,588.36/147,823.43 = 45,213.48/x
  3. Step 3: Cross multiply
    98,588.36x = 147,823.43 × 45,213.48
  4. Step 4: Simplify right side
    98,588.36x = 6,683,611,469.77
  5. Step 5: Solve for x
    x = 6,683,611,469.77/98,588.36
  6. Step 6: Final answer
    x = 67,793.11

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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.