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Finding the Fourth Proportional to 65,069.32, 97,524 and 37,012.72

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Solution

The fourth proportional to 65,069.32, 97,524 and 37,012.72 is: 55,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,069.32 : 97,524 = 37,012.72 : x
  2. Step 2: Convert to fraction form
    65,069.32/97,524 = 37,012.72/x
  3. Step 3: Cross multiply
    65,069.32x = 97,524 × 37,012.72
  4. Step 4: Simplify right side
    65,069.32x = 3,609,628,505.28
  5. Step 5: Solve for x
    x = 3,609,628,505.28/65,069.32
  6. Step 6: Final answer
    x = 55,473.59

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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.