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Finding the Fourth Proportional to 82,354.95, 123,729.26 and 52,830.45

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Solution

The fourth proportional to 82,354.95, 123,729.26 and 52,830.45 is: 79,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.95 : 123,729.26 = 52,830.45 : x
  2. Step 2: Convert to fraction form
    82,354.95/123,729.26 = 52,830.45/x
  3. Step 3: Cross multiply
    82,354.95x = 123,729.26 × 52,830.45
  4. Step 4: Simplify right side
    82,354.95x = 6,536,672,483.97
  5. Step 5: Solve for x
    x = 6,536,672,483.97/82,354.95
  6. Step 6: Final answer
    x = 79,371.94

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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.