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Finding the Fourth Proportional to 29,409.84, 40,585.77 and 15,981.21

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Solution

The fourth proportional to 29,409.84, 40,585.77 and 15,981.21 is: 22,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409.84 : 40,585.77 = 15,981.21 : x
  2. Step 2: Convert to fraction form
    29,409.84/40,585.77 = 15,981.21/x
  3. Step 3: Cross multiply
    29,409.84x = 40,585.77 × 15,981.21
  4. Step 4: Simplify right side
    29,409.84x = 648,609,713.38
  5. Step 5: Solve for x
    x = 648,609,713.38/29,409.84
  6. Step 6: Final answer
    x = 22,054.17

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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.