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Finding the Fourth Proportional to 97,659.84, 146,491.53 and 34,478.43

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Solution

The fourth proportional to 97,659.84, 146,491.53 and 34,478.43 is: 51,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659.84 : 146,491.53 = 34,478.43 : x
  2. Step 2: Convert to fraction form
    97,659.84/146,491.53 = 34,478.43/x
  3. Step 3: Cross multiply
    97,659.84x = 146,491.53 × 34,478.43
  4. Step 4: Simplify right side
    97,659.84x = 5,050,797,962.70
  5. Step 5: Solve for x
    x = 5,050,797,962.70/97,659.84
  6. Step 6: Final answer
    x = 51,718.27

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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.