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Finding the Fourth Proportional to 65,495.31, 98,149.11 and 37,357.14

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Solution

The fourth proportional to 65,495.31, 98,149.11 and 37,357.14 is: 55,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,495.31 : 98,149.11 = 37,357.14 : x
  2. Step 2: Convert to fraction form
    65,495.31/98,149.11 = 37,357.14/x
  3. Step 3: Cross multiply
    65,495.31x = 98,149.11 × 37,357.14
  4. Step 4: Simplify right side
    65,495.31x = 3,666,570,043.15
  5. Step 5: Solve for x
    x = 3,666,570,043.15/65,495.31
  6. Step 6: Final answer
    x = 55,982.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.