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Finding the Fourth Proportional to 57,646.50, 85,896.65 and 51,358.19

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Solution

The fourth proportional to 57,646.50, 85,896.65 and 51,358.19 is: 76,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646.50 : 85,896.65 = 51,358.19 : x
  2. Step 2: Convert to fraction form
    57,646.50/85,896.65 = 51,358.19/x
  3. Step 3: Cross multiply
    57,646.50x = 85,896.65 × 51,358.19
  4. Step 4: Simplify right side
    57,646.50x = 4,411,496,427.33
  5. Step 5: Solve for x
    x = 4,411,496,427.33/57,646.50
  6. Step 6: Final answer
    x = 76,526.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.