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Finding the Fourth Proportional to 70,495.84, 105,748.62 and 20,576.35

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Solution

The fourth proportional to 70,495.84, 105,748.62 and 20,576.35 is: 30,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,495.84 : 105,748.62 = 20,576.35 : x
  2. Step 2: Convert to fraction form
    70,495.84/105,748.62 = 20,576.35/x
  3. Step 3: Cross multiply
    70,495.84x = 105,748.62 × 20,576.35
  4. Step 4: Simplify right side
    70,495.84x = 2,175,920,617.14
  5. Step 5: Solve for x
    x = 2,175,920,617.14/70,495.84
  6. Step 6: Final answer
    x = 30,865.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.