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Finding the Fourth Proportional to 29,980.84, 41,373 and 16,552.52

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Solution

The fourth proportional to 29,980.84, 41,373 and 16,552.52 is: 22,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.84 : 41,373 = 16,552.52 : x
  2. Step 2: Convert to fraction form
    29,980.84/41,373 = 16,552.52/x
  3. Step 3: Cross multiply
    29,980.84x = 41,373 × 16,552.52
  4. Step 4: Simplify right side
    29,980.84x = 684,827,409.96
  5. Step 5: Solve for x
    x = 684,827,409.96/29,980.84
  6. Step 6: Final answer
    x = 22,842.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.