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Finding the Fourth Proportional to 74,381.50, 111,572.25 and 18,977.50

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Solution

The fourth proportional to 74,381.50, 111,572.25 and 18,977.50 is: 28,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.50 : 111,572.25 = 18,977.50 : x
  2. Step 2: Convert to fraction form
    74,381.50/111,572.25 = 18,977.50/x
  3. Step 3: Cross multiply
    74,381.50x = 111,572.25 × 18,977.50
  4. Step 4: Simplify right side
    74,381.50x = 2,117,362,374.38
  5. Step 5: Solve for x
    x = 2,117,362,374.38/74,381.50
  6. Step 6: Final answer
    x = 28,466.25

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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.