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Finding the Fourth Proportional to 30,842.84, 46,264.52 and 7,469.30

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Solution

The fourth proportional to 30,842.84, 46,264.52 and 7,469.30 is: 11,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.84 : 46,264.52 = 7,469.30 : x
  2. Step 2: Convert to fraction form
    30,842.84/46,264.52 = 7,469.30/x
  3. Step 3: Cross multiply
    30,842.84x = 46,264.52 × 7,469.30
  4. Step 4: Simplify right side
    30,842.84x = 345,563,366.59
  5. Step 5: Solve for x
    x = 345,563,366.59/30,842.84
  6. Step 6: Final answer
    x = 11,204.01

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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.