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Finding the Fourth Proportional to 97,654.79, 146,493 and 31,079.49

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Solution

The fourth proportional to 97,654.79, 146,493 and 31,079.49 is: 46,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,654.79 : 146,493 = 31,079.49 : x
  2. Step 2: Convert to fraction form
    97,654.79/146,493 = 31,079.49/x
  3. Step 3: Cross multiply
    97,654.79x = 146,493 × 31,079.49
  4. Step 4: Simplify right side
    97,654.79x = 4,552,927,728.57
  5. Step 5: Solve for x
    x = 4,552,927,728.57/97,654.79
  6. Step 6: Final answer
    x = 46,622.68

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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.