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Finding the Fourth Proportional to 83,014.48, 114,558.66 and 47,203.72

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Solution

The fourth proportional to 83,014.48, 114,558.66 and 47,203.72 is: 65,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.48 : 114,558.66 = 47,203.72 : x
  2. Step 2: Convert to fraction form
    83,014.48/114,558.66 = 47,203.72/x
  3. Step 3: Cross multiply
    83,014.48x = 114,558.66 × 47,203.72
  4. Step 4: Simplify right side
    83,014.48x = 5,407,594,910.22
  5. Step 5: Solve for x
    x = 5,407,594,910.22/83,014.48
  6. Step 6: Final answer
    x = 65,140.38

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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.