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Finding the Fourth Proportional to 29,865, 44,802.32 and 10,141.48

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Solution

The fourth proportional to 29,865, 44,802.32 and 10,141.48 is: 15,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,865 : 44,802.32 = 10,141.48 : x
  2. Step 2: Convert to fraction form
    29,865/44,802.32 = 10,141.48/x
  3. Step 3: Cross multiply
    29,865x = 44,802.32 × 10,141.48
  4. Step 4: Simplify right side
    29,865x = 454,361,832.23
  5. Step 5: Solve for x
    x = 454,361,832.23/29,865
  6. Step 6: Final answer
    x = 15,213.86

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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.