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Finding the Fourth Proportional to 65,094.84, 97,642.26 and 20,735.19

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Solution

The fourth proportional to 65,094.84, 97,642.26 and 20,735.19 is: 31,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094.84 : 97,642.26 = 20,735.19 : x
  2. Step 2: Convert to fraction form
    65,094.84/97,642.26 = 20,735.19/x
  3. Step 3: Cross multiply
    65,094.84x = 97,642.26 × 20,735.19
  4. Step 4: Simplify right side
    65,094.84x = 2,024,630,813.13
  5. Step 5: Solve for x
    x = 2,024,630,813.13/65,094.84
  6. Step 6: Final answer
    x = 31,102.79

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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.