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Finding the Fourth Proportional to 74,984.94, 112,433.67 and 22,380.30

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Solution

The fourth proportional to 74,984.94, 112,433.67 and 22,380.30 is: 33,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984.94 : 112,433.67 = 22,380.30 : x
  2. Step 2: Convert to fraction form
    74,984.94/112,433.67 = 22,380.30/x
  3. Step 3: Cross multiply
    74,984.94x = 112,433.67 × 22,380.30
  4. Step 4: Simplify right side
    74,984.94x = 2,516,299,264.70
  5. Step 5: Solve for x
    x = 2,516,299,264.70/74,984.94
  6. Step 6: Final answer
    x = 33,557.40

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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.