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Finding the Fourth Proportional to 70,381.02, 105,578.40 and 20,461.50

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Solution

The fourth proportional to 70,381.02, 105,578.40 and 20,461.50 is: 30,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381.02 : 105,578.40 = 20,461.50 : x
  2. Step 2: Convert to fraction form
    70,381.02/105,578.40 = 20,461.50/x
  3. Step 3: Cross multiply
    70,381.02x = 105,578.40 × 20,461.50
  4. Step 4: Simplify right side
    70,381.02x = 2,160,292,431.60
  5. Step 5: Solve for x
    x = 2,160,292,431.60/70,381.02
  6. Step 6: Final answer
    x = 30,694.25

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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.