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Finding the Fourth Proportional to 65,094.72, 97,642.04 and 23,532

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Solution

The fourth proportional to 65,094.72, 97,642.04 and 23,532 is: 35,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094.72 : 97,642.04 = 23,532 : x
  2. Step 2: Convert to fraction form
    65,094.72/97,642.04 = 23,532/x
  3. Step 3: Cross multiply
    65,094.72x = 97,642.04 × 23,532
  4. Step 4: Simplify right side
    65,094.72x = 2,297,712,485.28
  5. Step 5: Solve for x
    x = 2,297,712,485.28/65,094.72
  6. Step 6: Final answer
    x = 35,297.99

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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.