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Finding the Fourth Proportional to 56,646.93, 84,841.14 and 27,085.68

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Solution

The fourth proportional to 56,646.93, 84,841.14 and 27,085.68 is: 40,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.93 : 84,841.14 = 27,085.68 : x
  2. Step 2: Convert to fraction form
    56,646.93/84,841.14 = 27,085.68/x
  3. Step 3: Cross multiply
    56,646.93x = 84,841.14 × 27,085.68
  4. Step 4: Simplify right side
    56,646.93x = 2,297,979,968.88
  5. Step 5: Solve for x
    x = 2,297,979,968.88/56,646.93
  6. Step 6: Final answer
    x = 40,566.72

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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.