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Finding the Fourth Proportional to 82,369.52, 113,682.12 and 52,157.64

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Solution

The fourth proportional to 82,369.52, 113,682.12 and 52,157.64 is: 71,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,369.52 : 113,682.12 = 52,157.64 : x
  2. Step 2: Convert to fraction form
    82,369.52/113,682.12 = 52,157.64/x
  3. Step 3: Cross multiply
    82,369.52x = 113,682.12 × 52,157.64
  4. Step 4: Simplify right side
    82,369.52x = 5,929,391,089.40
  5. Step 5: Solve for x
    x = 5,929,391,089.40/82,369.52
  6. Step 6: Final answer
    x = 71,985.26

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1.5x scale

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.