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Finding the Fourth Proportional to 97,695.70, 146,592.15 and 38,533.30

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Solution

The fourth proportional to 97,695.70, 146,592.15 and 38,533.30 is: 57,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695.70 : 146,592.15 = 38,533.30 : x
  2. Step 2: Convert to fraction form
    97,695.70/146,592.15 = 38,533.30/x
  3. Step 3: Cross multiply
    97,695.70x = 146,592.15 × 38,533.30
  4. Step 4: Simplify right side
    97,695.70x = 5,648,679,293.60
  5. Step 5: Solve for x
    x = 5,648,679,293.60/97,695.70
  6. Step 6: Final answer
    x = 57,819.12

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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.