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Finding the Fourth Proportional to 65,057.32, 97,643.58 and 33,489.64

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Solution

The fourth proportional to 65,057.32, 97,643.58 and 33,489.64 is: 50,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.32 : 97,643.58 = 33,489.64 : x
  2. Step 2: Convert to fraction form
    65,057.32/97,643.58 = 33,489.64/x
  3. Step 3: Cross multiply
    65,057.32x = 97,643.58 × 33,489.64
  4. Step 4: Simplify right side
    65,057.32x = 3,270,048,342.51
  5. Step 5: Solve for x
    x = 3,270,048,342.51/65,057.32
  6. Step 6: Final answer
    x = 50,264.11

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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.