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Finding the Fourth Proportional to 82,568.16, 123,852.24 and 35,820

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Solution

The fourth proportional to 82,568.16, 123,852.24 and 35,820 is: 53,730

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568.16 : 123,852.24 = 35,820 : x
  2. Step 2: Convert to fraction form
    82,568.16/123,852.24 = 35,820/x
  3. Step 3: Cross multiply
    82,568.16x = 123,852.24 × 35,820
  4. Step 4: Simplify right side
    82,568.16x = 4,436,387,236.80
  5. Step 5: Solve for x
    x = 4,436,387,236.80/82,568.16
  6. Step 6: Final answer
    x = 53,730

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.