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Finding the Fourth Proportional to 97,530, 146,295.06 and 23,658

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Solution

The fourth proportional to 97,530, 146,295.06 and 23,658 is: 35,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,530 : 146,295.06 = 23,658 : x
  2. Step 2: Convert to fraction form
    97,530/146,295.06 = 23,658/x
  3. Step 3: Cross multiply
    97,530x = 146,295.06 × 23,658
  4. Step 4: Simplify right side
    97,530x = 3,461,048,529.48
  5. Step 5: Solve for x
    x = 3,461,048,529.48/97,530
  6. Step 6: Final answer
    x = 35,487.01

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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.