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Finding the Fourth Proportional to 97,577, 146,365.86 and 23,705

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Solution

The fourth proportional to 97,577, 146,365.86 and 23,705 is: 35,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,577 : 146,365.86 = 23,705 : x
  2. Step 2: Convert to fraction form
    97,577/146,365.86 = 23,705/x
  3. Step 3: Cross multiply
    97,577x = 146,365.86 × 23,705
  4. Step 4: Simplify right side
    97,577x = 3,469,602,711.30
  5. Step 5: Solve for x
    x = 3,469,602,711.30/97,577
  6. Step 6: Final answer
    x = 35,557.59

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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.