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Finding the Fourth Proportional to 65,106.36, 97,672.50 and 27,666.06

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Solution

The fourth proportional to 65,106.36, 97,672.50 and 27,666.06 is: 41,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.36 : 97,672.50 = 27,666.06 : x
  2. Step 2: Convert to fraction form
    65,106.36/97,672.50 = 27,666.06/x
  3. Step 3: Cross multiply
    65,106.36x = 97,672.50 × 27,666.06
  4. Step 4: Simplify right side
    65,106.36x = 2,702,213,245.35
  5. Step 5: Solve for x
    x = 2,702,213,245.35/65,106.36
  6. Step 6: Final answer
    x = 41,504.60

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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.