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Finding the Fourth Proportional to 74,431.29, 102,714.75 and 40,439.51

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Solution

The fourth proportional to 74,431.29, 102,714.75 and 40,439.51 is: 55,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,431.29 : 102,714.75 = 40,439.51 : x
  2. Step 2: Convert to fraction form
    74,431.29/102,714.75 = 40,439.51/x
  3. Step 3: Cross multiply
    74,431.29x = 102,714.75 × 40,439.51
  4. Step 4: Simplify right side
    74,431.29x = 4,153,734,031.38
  5. Step 5: Solve for x
    x = 4,153,734,031.38/74,431.29
  6. Step 6: Final answer
    x = 55,806.29

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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.