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Finding the Fourth Proportional to 58,184.56, 80,342.04 and 47,431.12

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Solution

The fourth proportional to 58,184.56, 80,342.04 and 47,431.12 is: 65,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,184.56 : 80,342.04 = 47,431.12 : x
  2. Step 2: Convert to fraction form
    58,184.56/80,342.04 = 47,431.12/x
  3. Step 3: Cross multiply
    58,184.56x = 80,342.04 × 47,431.12
  4. Step 4: Simplify right side
    58,184.56x = 3,810,712,940.28
  5. Step 5: Solve for x
    x = 3,810,712,940.28/58,184.56
  6. Step 6: Final answer
    x = 65,493.54

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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.