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Finding the Fourth Proportional to 82,323.89, 123,483.02 and 34,908.47

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Solution

The fourth proportional to 82,323.89, 123,483.02 and 34,908.47 is: 52,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.89 : 123,483.02 = 34,908.47 : x
  2. Step 2: Convert to fraction form
    82,323.89/123,483.02 = 34,908.47/x
  3. Step 3: Cross multiply
    82,323.89x = 123,483.02 × 34,908.47
  4. Step 4: Simplify right side
    82,323.89x = 4,310,602,507.22
  5. Step 5: Solve for x
    x = 4,310,602,507.22/82,323.89
  6. Step 6: Final answer
    x = 52,361.50

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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.