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Finding the Fourth Proportional to 61,714.58, 92,574.09 and 31,720.75

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Solution

The fourth proportional to 61,714.58, 92,574.09 and 31,720.75 is: 47,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,714.58 : 92,574.09 = 31,720.75 : x
  2. Step 2: Convert to fraction form
    61,714.58/92,574.09 = 31,720.75/x
  3. Step 3: Cross multiply
    61,714.58x = 92,574.09 × 31,720.75
  4. Step 4: Simplify right side
    61,714.58x = 2,936,519,333.93
  5. Step 5: Solve for x
    x = 2,936,519,333.93/61,714.58
  6. Step 6: Final answer
    x = 47,582.27

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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.