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Finding the Fourth Proportional to 97,652.81, 146,478.78 and 41,484.30

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Solution

The fourth proportional to 97,652.81, 146,478.78 and 41,484.30 is: 62,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,652.81 : 146,478.78 = 41,484.30 : x
  2. Step 2: Convert to fraction form
    97,652.81/146,478.78 = 41,484.30/x
  3. Step 3: Cross multiply
    97,652.81x = 146,478.78 × 41,484.30
  4. Step 4: Simplify right side
    97,652.81x = 6,076,569,653.15
  5. Step 5: Solve for x
    x = 6,076,569,653.15/97,652.81
  6. Step 6: Final answer
    x = 62,226.27

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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.