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Finding the Fourth Proportional to 65,832.96, 98,657.28 and 47,278.08

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Solution

The fourth proportional to 65,832.96, 98,657.28 and 47,278.08 is: 70,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832.96 : 98,657.28 = 47,278.08 : x
  2. Step 2: Convert to fraction form
    65,832.96/98,657.28 = 47,278.08/x
  3. Step 3: Cross multiply
    65,832.96x = 98,657.28 × 47,278.08
  4. Step 4: Simplify right side
    65,832.96x = 4,664,326,776.42
  5. Step 5: Solve for x
    x = 4,664,326,776.42/65,832.96
  6. Step 6: Final answer
    x = 70,850.94

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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.