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Finding the Fourth Proportional to 97,653.81, 146,480.28 and 41,485.30

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Solution

The fourth proportional to 97,653.81, 146,480.28 and 41,485.30 is: 62,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.81 : 146,480.28 = 41,485.30 : x
  2. Step 2: Convert to fraction form
    97,653.81/146,480.28 = 41,485.30/x
  3. Step 3: Cross multiply
    97,653.81x = 146,480.28 × 41,485.30
  4. Step 4: Simplify right side
    97,653.81x = 6,076,778,359.88
  5. Step 5: Solve for x
    x = 6,076,778,359.88/97,653.81
  6. Step 6: Final answer
    x = 62,227.77

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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.