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Finding the Fourth Proportional to 65,349.37, 97,866.16 and 37,184.09

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Solution

The fourth proportional to 65,349.37, 97,866.16 and 37,184.09 is: 55,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.37 : 97,866.16 = 37,184.09 : x
  2. Step 2: Convert to fraction form
    65,349.37/97,866.16 = 37,184.09/x
  3. Step 3: Cross multiply
    65,349.37x = 97,866.16 × 37,184.09
  4. Step 4: Simplify right side
    65,349.37x = 3,639,064,101.39
  5. Step 5: Solve for x
    x = 3,639,064,101.39/65,349.37
  6. Step 6: Final answer
    x = 55,686.29

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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.