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Finding the Fourth Proportional to 89,085.40, 122,948.22 and 51,361

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Solution

The fourth proportional to 89,085.40, 122,948.22 and 51,361 is: 70,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,085.40 : 122,948.22 = 51,361 : x
  2. Step 2: Convert to fraction form
    89,085.40/122,948.22 = 51,361/x
  3. Step 3: Cross multiply
    89,085.40x = 122,948.22 × 51,361
  4. Step 4: Simplify right side
    89,085.40x = 6,314,743,527.42
  5. Step 5: Solve for x
    x = 6,314,743,527.42/89,085.40
  6. Step 6: Final answer
    x = 70,884.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.