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Finding the Fourth Proportional to 75,562.34, 113,269.70 and 38,009.75

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Solution

The fourth proportional to 75,562.34, 113,269.70 and 38,009.75 is: 56,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,562.34 : 113,269.70 = 38,009.75 : x
  2. Step 2: Convert to fraction form
    75,562.34/113,269.70 = 38,009.75/x
  3. Step 3: Cross multiply
    75,562.34x = 113,269.70 × 38,009.75
  4. Step 4: Simplify right side
    75,562.34x = 4,305,352,223.18
  5. Step 5: Solve for x
    x = 4,305,352,223.18/75,562.34
  6. Step 6: Final answer
    x = 56,977.49

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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.