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Finding the Fourth Proportional to 71,146.89, 106,716.48 and 36,085.63

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Solution

The fourth proportional to 71,146.89, 106,716.48 and 36,085.63 is: 54,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146.89 : 106,716.48 = 36,085.63 : x
  2. Step 2: Convert to fraction form
    71,146.89/106,716.48 = 36,085.63/x
  3. Step 3: Cross multiply
    71,146.89x = 106,716.48 × 36,085.63
  4. Step 4: Simplify right side
    71,146.89x = 3,850,931,412.18
  5. Step 5: Solve for x
    x = 3,850,931,412.18/71,146.89
  6. Step 6: Final answer
    x = 54,126.49

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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.