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Finding the Fourth Proportional to 82,955, 124,432.50 and 27,551

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Solution

The fourth proportional to 82,955, 124,432.50 and 27,551 is: 41,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,955 : 124,432.50 = 27,551 : x
  2. Step 2: Convert to fraction form
    82,955/124,432.50 = 27,551/x
  3. Step 3: Cross multiply
    82,955x = 124,432.50 × 27,551
  4. Step 4: Simplify right side
    82,955x = 3,428,239,807.50
  5. Step 5: Solve for x
    x = 3,428,239,807.50/82,955
  6. Step 6: Final answer
    x = 41,326.50

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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.