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Finding the Fourth Proportional to 65,142, 89,895.96 and 36,847.08

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Solution

The fourth proportional to 65,142, 89,895.96 and 36,847.08 is: 50,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142 : 89,895.96 = 36,847.08 : x
  2. Step 2: Convert to fraction form
    65,142/89,895.96 = 36,847.08/x
  3. Step 3: Cross multiply
    65,142x = 89,895.96 × 36,847.08
  4. Step 4: Simplify right side
    65,142x = 3,312,403,629.80
  5. Step 5: Solve for x
    x = 3,312,403,629.80/65,142
  6. Step 6: Final answer
    x = 50,848.97

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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.