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Finding the Fourth Proportional to 89,256.16, 123,177.36 and 53,452

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Solution

The fourth proportional to 89,256.16, 123,177.36 and 53,452 is: 73,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,256.16 : 123,177.36 = 53,452 : x
  2. Step 2: Convert to fraction form
    89,256.16/123,177.36 = 53,452/x
  3. Step 3: Cross multiply
    89,256.16x = 123,177.36 × 53,452
  4. Step 4: Simplify right side
    89,256.16x = 6,584,076,246.72
  5. Step 5: Solve for x
    x = 6,584,076,246.72/89,256.16
  6. Step 6: Final answer
    x = 73,766.07

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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.