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Finding the Fourth Proportional to 35,711.51, 53,514.47 and 33,714.51

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Solution

The fourth proportional to 35,711.51, 53,514.47 and 33,714.51 is: 50,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.51 : 53,514.47 = 33,714.51 : x
  2. Step 2: Convert to fraction form
    35,711.51/53,514.47 = 33,714.51/x
  3. Step 3: Cross multiply
    35,711.51x = 53,514.47 × 33,714.51
  4. Step 4: Simplify right side
    35,711.51x = 1,804,214,133.96
  5. Step 5: Solve for x
    x = 1,804,214,133.96/35,711.51
  6. Step 6: Final answer
    x = 50,521.92

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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.