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Finding the Fourth Proportional to 53,394.64, 73,714.60 and 35,514

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Solution

The fourth proportional to 53,394.64, 73,714.60 and 35,514 is: 49,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394.64 : 73,714.60 = 35,514 : x
  2. Step 2: Convert to fraction form
    53,394.64/73,714.60 = 35,514/x
  3. Step 3: Cross multiply
    53,394.64x = 73,714.60 × 35,514
  4. Step 4: Simplify right side
    53,394.64x = 2,617,900,304.40
  5. Step 5: Solve for x
    x = 2,617,900,304.40/53,394.64
  6. Step 6: Final answer
    x = 49,029.27

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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.