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Finding the Fourth Proportional to 82,778.68, 114,221.88 and 46,482.01

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Solution

The fourth proportional to 82,778.68, 114,221.88 and 46,482.01 is: 64,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.68 : 114,221.88 = 46,482.01 : x
  2. Step 2: Convert to fraction form
    82,778.68/114,221.88 = 46,482.01/x
  3. Step 3: Cross multiply
    82,778.68x = 114,221.88 × 46,482.01
  4. Step 4: Simplify right side
    82,778.68x = 5,309,261,764.86
  5. Step 5: Solve for x
    x = 5,309,261,764.86/82,778.68
  6. Step 6: Final answer
    x = 64,138.03

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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.