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Finding the Fourth Proportional to 83,054, 114,617.68 and 47,247.28

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Solution

The fourth proportional to 83,054, 114,617.68 and 47,247.28 is: 65,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054 : 114,617.68 = 47,247.28 : x
  2. Step 2: Convert to fraction form
    83,054/114,617.68 = 47,247.28/x
  3. Step 3: Cross multiply
    83,054x = 114,617.68 × 47,247.28
  4. Step 4: Simplify right side
    83,054x = 5,415,373,619.91
  5. Step 5: Solve for x
    x = 5,415,373,619.91/83,054
  6. Step 6: Final answer
    x = 65,203.04

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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.