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Finding the Fourth Proportional to 94,827.30, 130,865.42 and 54,541

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Solution

The fourth proportional to 94,827.30, 130,865.42 and 54,541 is: 75,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,827.30 : 130,865.42 = 54,541 : x
  2. Step 2: Convert to fraction form
    94,827.30/130,865.42 = 54,541/x
  3. Step 3: Cross multiply
    94,827.30x = 130,865.42 × 54,541
  4. Step 4: Simplify right side
    94,827.30x = 7,137,530,872.22
  5. Step 5: Solve for x
    x = 7,137,530,872.22/94,827.30
  6. Step 6: Final answer
    x = 75,268.73

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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.