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Finding the Fourth Proportional to 82,004.67, 123,007.02 and 63,312.03

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Solution

The fourth proportional to 82,004.67, 123,007.02 and 63,312.03 is: 94,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,004.67 : 123,007.02 = 63,312.03 : x
  2. Step 2: Convert to fraction form
    82,004.67/123,007.02 = 63,312.03/x
  3. Step 3: Cross multiply
    82,004.67x = 123,007.02 × 63,312.03
  4. Step 4: Simplify right side
    82,004.67x = 7,787,824,140.45
  5. Step 5: Solve for x
    x = 7,787,824,140.45/82,004.67
  6. Step 6: Final answer
    x = 94,968.06

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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.