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Finding the Fourth Proportional to 97,493.76, 146,240.58 and 35,164.26

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Solution

The fourth proportional to 97,493.76, 146,240.58 and 35,164.26 is: 52,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,493.76 : 146,240.58 = 35,164.26 : x
  2. Step 2: Convert to fraction form
    97,493.76/146,240.58 = 35,164.26/x
  3. Step 3: Cross multiply
    97,493.76x = 146,240.58 × 35,164.26
  4. Step 4: Simplify right side
    97,493.76x = 5,142,441,777.67
  5. Step 5: Solve for x
    x = 5,142,441,777.67/97,493.76
  6. Step 6: Final answer
    x = 52,746.37

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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.