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Finding the Fourth Proportional to 51,549.18, 77,353.53 and 27,856.80

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Solution

The fourth proportional to 51,549.18, 77,353.53 and 27,856.80 is: 41,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,549.18 : 77,353.53 = 27,856.80 : x
  2. Step 2: Convert to fraction form
    51,549.18/77,353.53 = 27,856.80/x
  3. Step 3: Cross multiply
    51,549.18x = 77,353.53 × 27,856.80
  4. Step 4: Simplify right side
    51,549.18x = 2,154,821,814.50
  5. Step 5: Solve for x
    x = 2,154,821,814.50/51,549.18
  6. Step 6: Final answer
    x = 41,801.28

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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.