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Finding the Fourth Proportional to 30,113.92, 41,558.72 and 18,177.12

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Solution

The fourth proportional to 30,113.92, 41,558.72 and 18,177.12 is: 25,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113.92 : 41,558.72 = 18,177.12 : x
  2. Step 2: Convert to fraction form
    30,113.92/41,558.72 = 18,177.12/x
  3. Step 3: Cross multiply
    30,113.92x = 41,558.72 × 18,177.12
  4. Step 4: Simplify right side
    30,113.92x = 755,417,840.49
  5. Step 5: Solve for x
    x = 755,417,840.49/30,113.92
  6. Step 6: Final answer
    x = 25,085.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.