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Finding the Fourth Proportional to 29,314.47, 43,971.71 and 8,254.51

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Solution

The fourth proportional to 29,314.47, 43,971.71 and 8,254.51 is: 12,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.47 : 43,971.71 = 8,254.51 : x
  2. Step 2: Convert to fraction form
    29,314.47/43,971.71 = 8,254.51/x
  3. Step 3: Cross multiply
    29,314.47x = 43,971.71 × 8,254.51
  4. Step 4: Simplify right side
    29,314.47x = 362,964,815.14
  5. Step 5: Solve for x
    x = 362,964,815.14/29,314.47
  6. Step 6: Final answer
    x = 12,381.76

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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.