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Finding the Fourth Proportional to 74,191.35, 102,419.52 and 42,354.09

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Solution

The fourth proportional to 74,191.35, 102,419.52 and 42,354.09 is: 58,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,191.35 : 102,419.52 = 42,354.09 : x
  2. Step 2: Convert to fraction form
    74,191.35/102,419.52 = 42,354.09/x
  3. Step 3: Cross multiply
    74,191.35x = 102,419.52 × 42,354.09
  4. Step 4: Simplify right side
    74,191.35x = 4,337,885,567.84
  5. Step 5: Solve for x
    x = 4,337,885,567.84/74,191.35
  6. Step 6: Final answer
    x = 58,468.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.