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Finding the Fourth Proportional to 43,646.56, 65,486.04 and 22,855.48

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Solution

The fourth proportional to 43,646.56, 65,486.04 and 22,855.48 is: 34,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,646.56 : 65,486.04 = 22,855.48 : x
  2. Step 2: Convert to fraction form
    43,646.56/65,486.04 = 22,855.48/x
  3. Step 3: Cross multiply
    43,646.56x = 65,486.04 × 22,855.48
  4. Step 4: Simplify right side
    43,646.56x = 1,496,714,877.50
  5. Step 5: Solve for x
    x = 1,496,714,877.50/43,646.56
  6. Step 6: Final answer
    x = 34,291.70

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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.