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Finding the Fourth Proportional to 75,826.64, 104,530 and 53,094

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Solution

The fourth proportional to 75,826.64, 104,530 and 53,094 is: 73,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,826.64 : 104,530 = 53,094 : x
  2. Step 2: Convert to fraction form
    75,826.64/104,530 = 53,094/x
  3. Step 3: Cross multiply
    75,826.64x = 104,530 × 53,094
  4. Step 4: Simplify right side
    75,826.64x = 5,549,915,820
  5. Step 5: Solve for x
    x = 5,549,915,820/75,826.64
  6. Step 6: Final answer
    x = 73,192.16

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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.