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Finding the Fourth Proportional to 52,257.96, 72,092.16 and 31,025.16

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Solution

The fourth proportional to 52,257.96, 72,092.16 and 31,025.16 is: 42,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257.96 : 72,092.16 = 31,025.16 : x
  2. Step 2: Convert to fraction form
    52,257.96/72,092.16 = 31,025.16/x
  3. Step 3: Cross multiply
    52,257.96x = 72,092.16 × 31,025.16
  4. Step 4: Simplify right side
    52,257.96x = 2,236,670,798.75
  5. Step 5: Solve for x
    x = 2,236,670,798.75/52,257.96
  6. Step 6: Final answer
    x = 42,800.58

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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.