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Finding the Fourth Proportional to 97,396.86, 146,007.57 and 35,023.50

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Solution

The fourth proportional to 97,396.86, 146,007.57 and 35,023.50 is: 52,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,396.86 : 146,007.57 = 35,023.50 : x
  2. Step 2: Convert to fraction form
    97,396.86/146,007.57 = 35,023.50/x
  3. Step 3: Cross multiply
    97,396.86x = 146,007.57 × 35,023.50
  4. Step 4: Simplify right side
    97,396.86x = 5,113,696,127.90
  5. Step 5: Solve for x
    x = 5,113,696,127.90/97,396.86
  6. Step 6: Final answer
    x = 52,503.71

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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.