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Finding the Fourth Proportional to 38,663.84, 53,381.81 and 29,695.32

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Solution

The fourth proportional to 38,663.84, 53,381.81 and 29,695.32 is: 40,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663.84 : 53,381.81 = 29,695.32 : x
  2. Step 2: Convert to fraction form
    38,663.84/53,381.81 = 29,695.32/x
  3. Step 3: Cross multiply
    38,663.84x = 53,381.81 × 29,695.32
  4. Step 4: Simplify right side
    38,663.84x = 1,585,189,930.13
  5. Step 5: Solve for x
    x = 1,585,189,930.13/38,663.84
  6. Step 6: Final answer
    x = 40,999.29

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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.