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Finding the Fourth Proportional to 82,779.30, 114,221.69 and 48,783.17

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Solution

The fourth proportional to 82,779.30, 114,221.69 and 48,783.17 is: 67,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779.30 : 114,221.69 = 48,783.17 : x
  2. Step 2: Convert to fraction form
    82,779.30/114,221.69 = 48,783.17/x
  3. Step 3: Cross multiply
    82,779.30x = 114,221.69 × 48,783.17
  4. Step 4: Simplify right side
    82,779.30x = 5,572,096,120.96
  5. Step 5: Solve for x
    x = 5,572,096,120.96/82,779.30
  6. Step 6: Final answer
    x = 67,312.68

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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.