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Finding the Fourth Proportional to 141,054.40, 211,580.64 and 35,872

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Solution

The fourth proportional to 141,054.40, 211,580.64 and 35,872 is: 53,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,054.40 : 211,580.64 = 35,872 : x
  2. Step 2: Convert to fraction form
    141,054.40/211,580.64 = 35,872/x
  3. Step 3: Cross multiply
    141,054.40x = 211,580.64 × 35,872
  4. Step 4: Simplify right side
    141,054.40x = 7,589,820,718.08
  5. Step 5: Solve for x
    x = 7,589,820,718.08/141,054.40
  6. Step 6: Final answer
    x = 53,807.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.