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Finding the Fourth Proportional to 57,221.46, 85,830.37 and 17,767.98

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Solution

The fourth proportional to 57,221.46, 85,830.37 and 17,767.98 is: 26,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.46 : 85,830.37 = 17,767.98 : x
  2. Step 2: Convert to fraction form
    57,221.46/85,830.37 = 17,767.98/x
  3. Step 3: Cross multiply
    57,221.46x = 85,830.37 × 17,767.98
  4. Step 4: Simplify right side
    57,221.46x = 1,525,032,253.13
  5. Step 5: Solve for x
    x = 1,525,032,253.13/57,221.46
  6. Step 6: Final answer
    x = 26,651.40

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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.