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Finding the Fourth Proportional to 187,817.16, 281,736.06 and 47,577

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Solution

The fourth proportional to 187,817.16, 281,736.06 and 47,577 is: 71,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,817.16 : 281,736.06 = 47,577 : x
  2. Step 2: Convert to fraction form
    187,817.16/281,736.06 = 47,577/x
  3. Step 3: Cross multiply
    187,817.16x = 281,736.06 × 47,577
  4. Step 4: Simplify right side
    187,817.16x = 13,404,156,526.62
  5. Step 5: Solve for x
    x = 13,404,156,526.62/187,817.16
  6. Step 6: Final answer
    x = 71,368.11

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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.