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Finding the Fourth Proportional to 70,834, 106,269.24 and 26,461.06

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Solution

The fourth proportional to 70,834, 106,269.24 and 26,461.06 is: 39,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,834 : 106,269.24 = 26,461.06 : x
  2. Step 2: Convert to fraction form
    70,834/106,269.24 = 26,461.06/x
  3. Step 3: Cross multiply
    70,834x = 106,269.24 × 26,461.06
  4. Step 4: Simplify right side
    70,834x = 2,811,996,735.79
  5. Step 5: Solve for x
    x = 2,811,996,735.79/70,834
  6. Step 6: Final answer
    x = 39,698.40

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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.