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Finding the Fourth Proportional to 113,989.48, 170,984.19 and 30,883.48

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Solution

The fourth proportional to 113,989.48, 170,984.19 and 30,883.48 is: 46,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,989.48 : 170,984.19 = 30,883.48 : x
  2. Step 2: Convert to fraction form
    113,989.48/170,984.19 = 30,883.48/x
  3. Step 3: Cross multiply
    113,989.48x = 170,984.19 × 30,883.48
  4. Step 4: Simplify right side
    113,989.48x = 5,280,586,812.18
  5. Step 5: Solve for x
    x = 5,280,586,812.18/113,989.48
  6. Step 6: Final answer
    x = 46,325.21

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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.