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Finding the Fourth Proportional to 97,534.78, 146,302.17 and 23,662.78

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Solution

The fourth proportional to 97,534.78, 146,302.17 and 23,662.78 is: 35,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,534.78 : 146,302.17 = 23,662.78 : x
  2. Step 2: Convert to fraction form
    97,534.78/146,302.17 = 23,662.78/x
  3. Step 3: Cross multiply
    97,534.78x = 146,302.17 × 23,662.78
  4. Step 4: Simplify right side
    97,534.78x = 3,461,916,289.48
  5. Step 5: Solve for x
    x = 3,461,916,289.48/97,534.78
  6. Step 6: Final answer
    x = 35,494.17

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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.