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Finding the Fourth Proportional to 98,305.50, 147,420.75 and 35,113.86

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Solution

The fourth proportional to 98,305.50, 147,420.75 and 35,113.86 is: 52,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,305.50 : 147,420.75 = 35,113.86 : x
  2. Step 2: Convert to fraction form
    98,305.50/147,420.75 = 35,113.86/x
  3. Step 3: Cross multiply
    98,305.50x = 147,420.75 × 35,113.86
  4. Step 4: Simplify right side
    98,305.50x = 5,176,511,576.60
  5. Step 5: Solve for x
    x = 5,176,511,576.60/98,305.50
  6. Step 6: Final answer
    x = 52,657.40

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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.