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Finding the Fourth Proportional to 65,123.10, 97,538.85 and 50,283.90

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Solution

The fourth proportional to 65,123.10, 97,538.85 and 50,283.90 is: 75,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.10 : 97,538.85 = 50,283.90 : x
  2. Step 2: Convert to fraction form
    65,123.10/97,538.85 = 50,283.90/x
  3. Step 3: Cross multiply
    65,123.10x = 97,538.85 × 50,283.90
  4. Step 4: Simplify right side
    65,123.10x = 4,904,633,779.52
  5. Step 5: Solve for x
    x = 4,904,633,779.52/65,123.10
  6. Step 6: Final answer
    x = 75,313.27

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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.