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Finding the Fourth Proportional to 38,153.94, 52,663.41 and 23,044.20

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Solution

The fourth proportional to 38,153.94, 52,663.41 and 23,044.20 is: 31,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,153.94 : 52,663.41 = 23,044.20 : x
  2. Step 2: Convert to fraction form
    38,153.94/52,663.41 = 23,044.20/x
  3. Step 3: Cross multiply
    38,153.94x = 52,663.41 × 23,044.20
  4. Step 4: Simplify right side
    38,153.94x = 1,213,586,152.72
  5. Step 5: Solve for x
    x = 1,213,586,152.72/38,153.94
  6. Step 6: Final answer
    x = 31,807.62

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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.