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Finding the Fourth Proportional to 65,451.66, 98,029.86 and 30,317.50

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Solution

The fourth proportional to 65,451.66, 98,029.86 and 30,317.50 is: 45,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451.66 : 98,029.86 = 30,317.50 : x
  2. Step 2: Convert to fraction form
    65,451.66/98,029.86 = 30,317.50/x
  3. Step 3: Cross multiply
    65,451.66x = 98,029.86 × 30,317.50
  4. Step 4: Simplify right side
    65,451.66x = 2,972,020,280.55
  5. Step 5: Solve for x
    x = 2,972,020,280.55/65,451.66
  6. Step 6: Final answer
    x = 45,407.87

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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.