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Finding the Fourth Proportional to 65,200, 89,977.92 and 35,393.92

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Solution

The fourth proportional to 65,200, 89,977.92 and 35,393.92 is: 48,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200 : 89,977.92 = 35,393.92 : x
  2. Step 2: Convert to fraction form
    65,200/89,977.92 = 35,393.92/x
  3. Step 3: Cross multiply
    65,200x = 89,977.92 × 35,393.92
  4. Step 4: Simplify right side
    65,200x = 3,184,671,302.25
  5. Step 5: Solve for x
    x = 3,184,671,302.25/65,200
  6. Step 6: Final answer
    x = 48,844.65

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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.