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Finding the Fourth Proportional to 51,389.31, 77,037.21 and 19,779.21

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Solution

The fourth proportional to 51,389.31, 77,037.21 and 19,779.21 is: 29,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,389.31 : 77,037.21 = 19,779.21 : x
  2. Step 2: Convert to fraction form
    51,389.31/77,037.21 = 19,779.21/x
  3. Step 3: Cross multiply
    51,389.31x = 77,037.21 × 19,779.21
  4. Step 4: Simplify right side
    51,389.31x = 1,523,735,154.40
  5. Step 5: Solve for x
    x = 1,523,735,154.40/51,389.31
  6. Step 6: Final answer
    x = 29,650.82

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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.