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Finding the Fourth Proportional to 65,056, 89,777.34 and 35,248

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Solution

The fourth proportional to 65,056, 89,777.34 and 35,248 is: 48,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056 : 89,777.34 = 35,248 : x
  2. Step 2: Convert to fraction form
    65,056/89,777.34 = 35,248/x
  3. Step 3: Cross multiply
    65,056x = 89,777.34 × 35,248
  4. Step 4: Simplify right side
    65,056x = 3,164,471,680.32
  5. Step 5: Solve for x
    x = 3,164,471,680.32/65,056
  6. Step 6: Final answer
    x = 48,642.27

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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.