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Finding the Fourth Proportional to 34,487.51, 51,714.72 and 15,761.93

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Solution

The fourth proportional to 34,487.51, 51,714.72 and 15,761.93 is: 23,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,487.51 : 51,714.72 = 15,761.93 : x
  2. Step 2: Convert to fraction form
    34,487.51/51,714.72 = 15,761.93/x
  3. Step 3: Cross multiply
    34,487.51x = 51,714.72 × 15,761.93
  4. Step 4: Simplify right side
    34,487.51x = 815,123,538.04
  5. Step 5: Solve for x
    x = 815,123,538.04/34,487.51
  6. Step 6: Final answer
    x = 23,635.33

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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.