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Finding the Fourth Proportional to 82,405.24, 123,301.66 and 49,143.40

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Solution

The fourth proportional to 82,405.24, 123,301.66 and 49,143.40 is: 73,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.24 : 123,301.66 = 49,143.40 : x
  2. Step 2: Convert to fraction form
    82,405.24/123,301.66 = 49,143.40/x
  3. Step 3: Cross multiply
    82,405.24x = 123,301.66 × 49,143.40
  4. Step 4: Simplify right side
    82,405.24x = 6,059,462,798.04
  5. Step 5: Solve for x
    x = 6,059,462,798.04/82,405.24
  6. Step 6: Final answer
    x = 73,532.49

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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.