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Finding the Fourth Proportional to 82,750.90, 123,969.74 and 48,915.62

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Solution

The fourth proportional to 82,750.90, 123,969.74 and 48,915.62 is: 73,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,750.90 : 123,969.74 = 48,915.62 : x
  2. Step 2: Convert to fraction form
    82,750.90/123,969.74 = 48,915.62/x
  3. Step 3: Cross multiply
    82,750.90x = 123,969.74 × 48,915.62
  4. Step 4: Simplify right side
    82,750.90x = 6,064,056,693.34
  5. Step 5: Solve for x
    x = 6,064,056,693.34/82,750.90
  6. Step 6: Final answer
    x = 73,280.85

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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.