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Finding the Fourth Proportional to 102,581.80, 153,887.10 and 32,453.80

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Solution

The fourth proportional to 102,581.80, 153,887.10 and 32,453.80 is: 48,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,581.80 : 153,887.10 = 32,453.80 : x
  2. Step 2: Convert to fraction form
    102,581.80/153,887.10 = 32,453.80/x
  3. Step 3: Cross multiply
    102,581.80x = 153,887.10 × 32,453.80
  4. Step 4: Simplify right side
    102,581.80x = 4,994,221,165.98
  5. Step 5: Solve for x
    x = 4,994,221,165.98/102,581.80
  6. Step 6: Final answer
    x = 48,685.26

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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.