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Finding the Fourth Proportional to 77,755.86, 116,633.03 and 35,624.00

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Solution

The fourth proportional to 77,755.86, 116,633.03 and 35,624.00 is: 53,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,755.86 : 116,633.03 = 35,624.00 : x
  2. Step 2: Convert to fraction form
    77,755.86/116,633.03 = 35,624.00/x
  3. Step 3: Cross multiply
    77,755.86x = 116,633.03 × 35,624.00
  4. Step 4: Simplify right side
    77,755.86x = 4,154,934,299.43
  5. Step 5: Solve for x
    x = 4,154,934,299.43/77,755.86
  6. Step 6: Final answer
    x = 53,435.64

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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.