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Finding the Fourth Proportional to 85,596.83, 128,325.68 and 35,714.10

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Solution

The fourth proportional to 85,596.83, 128,325.68 and 35,714.10 is: 53,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596.83 : 128,325.68 = 35,714.10 : x
  2. Step 2: Convert to fraction form
    85,596.83/128,325.68 = 35,714.10/x
  3. Step 3: Cross multiply
    85,596.83x = 128,325.68 × 35,714.10
  4. Step 4: Simplify right side
    85,596.83x = 4,583,036,083.73
  5. Step 5: Solve for x
    x = 4,583,036,083.73/85,596.83
  6. Step 6: Final answer
    x = 53,542.12

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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.