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Finding the Fourth Proportional to 29,957.92, 44,937.06 and 13,314.04

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Solution

The fourth proportional to 29,957.92, 44,937.06 and 13,314.04 is: 19,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957.92 : 44,937.06 = 13,314.04 : x
  2. Step 2: Convert to fraction form
    29,957.92/44,937.06 = 13,314.04/x
  3. Step 3: Cross multiply
    29,957.92x = 44,937.06 × 13,314.04
  4. Step 4: Simplify right side
    29,957.92x = 598,293,814.32
  5. Step 5: Solve for x
    x = 598,293,814.32/29,957.92
  6. Step 6: Final answer
    x = 19,971.14

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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.