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Finding the Fourth Proportional to 65,012.80, 97,532.56 and 20,638.56

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Solution

The fourth proportional to 65,012.80, 97,532.56 and 20,638.56 is: 30,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.80 : 97,532.56 = 20,638.56 : x
  2. Step 2: Convert to fraction form
    65,012.80/97,532.56 = 20,638.56/x
  3. Step 3: Cross multiply
    65,012.80x = 97,532.56 × 20,638.56
  4. Step 4: Simplify right side
    65,012.80x = 2,012,931,591.51
  5. Step 5: Solve for x
    x = 2,012,931,591.51/65,012.80
  6. Step 6: Final answer
    x = 30,962.08

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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.