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Finding the Fourth Proportional to 53,202.86, 73,406.68 and 33,814.70

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Solution

The fourth proportional to 53,202.86, 73,406.68 and 33,814.70 is: 46,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,202.86 : 73,406.68 = 33,814.70 : x
  2. Step 2: Convert to fraction form
    53,202.86/73,406.68 = 33,814.70/x
  3. Step 3: Cross multiply
    53,202.86x = 73,406.68 × 33,814.70
  4. Step 4: Simplify right side
    53,202.86x = 2,482,224,410.63
  5. Step 5: Solve for x
    x = 2,482,224,410.63/53,202.86
  6. Step 6: Final answer
    x = 46,655.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.