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Finding the Fourth Proportional to 99,648.48, 149,423.76 and 33,066

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Solution

The fourth proportional to 99,648.48, 149,423.76 and 33,066 is: 49,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648.48 : 149,423.76 = 33,066 : x
  2. Step 2: Convert to fraction form
    99,648.48/149,423.76 = 33,066/x
  3. Step 3: Cross multiply
    99,648.48x = 149,423.76 × 33,066
  4. Step 4: Simplify right side
    99,648.48x = 4,940,846,048.16
  5. Step 5: Solve for x
    x = 4,940,846,048.16/99,648.48
  6. Step 6: Final answer
    x = 49,582.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.