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Finding the Fourth Proportional to 82,457.19, 123,730.74 and 35,713.71

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Solution

The fourth proportional to 82,457.19, 123,730.74 and 35,713.71 is: 53,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,457.19 : 123,730.74 = 35,713.71 : x
  2. Step 2: Convert to fraction form
    82,457.19/123,730.74 = 35,713.71/x
  3. Step 3: Cross multiply
    82,457.19x = 123,730.74 × 35,713.71
  4. Step 4: Simplify right side
    82,457.19x = 4,418,883,766.45
  5. Step 5: Solve for x
    x = 4,418,883,766.45/82,457.19
  6. Step 6: Final answer
    x = 53,590.04

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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.