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Finding the Fourth Proportional to 102,174.88, 153,281.76 and 32,035.36

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Solution

The fourth proportional to 102,174.88, 153,281.76 and 32,035.36 is: 48,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.88 : 153,281.76 = 32,035.36 : x
  2. Step 2: Convert to fraction form
    102,174.88/153,281.76 = 32,035.36/x
  3. Step 3: Cross multiply
    102,174.88x = 153,281.76 × 32,035.36
  4. Step 4: Simplify right side
    102,174.88x = 4,910,436,363.03
  5. Step 5: Solve for x
    x = 4,910,436,363.03/102,174.88
  6. Step 6: Final answer
    x = 48,059.14

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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.