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Finding the Fourth Proportional to 77,248.50, 115,779.16 and 32,781.84

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Solution

The fourth proportional to 77,248.50, 115,779.16 and 32,781.84 is: 49,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,248.50 : 115,779.16 = 32,781.84 : x
  2. Step 2: Convert to fraction form
    77,248.50/115,779.16 = 32,781.84/x
  3. Step 3: Cross multiply
    77,248.50x = 115,779.16 × 32,781.84
  4. Step 4: Simplify right side
    77,248.50x = 3,795,453,898.45
  5. Step 5: Solve for x
    x = 3,795,453,898.45/77,248.50
  6. Step 6: Final answer
    x = 49,133.04

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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.