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Finding the Fourth Proportional to 94,452.80, 130,344.26 and 52,011

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Solution

The fourth proportional to 94,452.80, 130,344.26 and 52,011 is: 71,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,452.80 : 130,344.26 = 52,011 : x
  2. Step 2: Convert to fraction form
    94,452.80/130,344.26 = 52,011/x
  3. Step 3: Cross multiply
    94,452.80x = 130,344.26 × 52,011
  4. Step 4: Simplify right side
    94,452.80x = 6,779,335,046.81
  5. Step 5: Solve for x
    x = 6,779,335,046.81/94,452.80
  6. Step 6: Final answer
    x = 71,774.85

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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.