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Finding the Fourth Proportional to 61,452, 92,180.16 and 35,144.64

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Solution

The fourth proportional to 61,452, 92,180.16 and 35,144.64 is: 52,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,452 : 92,180.16 = 35,144.64 : x
  2. Step 2: Convert to fraction form
    61,452/92,180.16 = 35,144.64/x
  3. Step 3: Cross multiply
    61,452x = 92,180.16 × 35,144.64
  4. Step 4: Simplify right side
    61,452x = 3,239,638,538.34
  5. Step 5: Solve for x
    x = 3,239,638,538.34/61,452
  6. Step 6: Final answer
    x = 52,718.20

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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.