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Finding the Fourth Proportional to 97,640.76, 146,362.05 and 38,518.32

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Solution

The fourth proportional to 97,640.76, 146,362.05 and 38,518.32 is: 57,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,640.76 : 146,362.05 = 38,518.32 : x
  2. Step 2: Convert to fraction form
    97,640.76/146,362.05 = 38,518.32/x
  3. Step 3: Cross multiply
    97,640.76x = 146,362.05 × 38,518.32
  4. Step 4: Simplify right side
    97,640.76x = 5,637,620,277.76
  5. Step 5: Solve for x
    x = 5,637,620,277.76/97,640.76
  6. Step 6: Final answer
    x = 57,738.39

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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.