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Finding the Fourth Proportional to 49,812.16, 74,729.52 and 14,752

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Solution

The fourth proportional to 49,812.16, 74,729.52 and 14,752 is: 22,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812.16 : 74,729.52 = 14,752 : x
  2. Step 2: Convert to fraction form
    49,812.16/74,729.52 = 14,752/x
  3. Step 3: Cross multiply
    49,812.16x = 74,729.52 × 14,752
  4. Step 4: Simplify right side
    49,812.16x = 1,102,409,879.04
  5. Step 5: Solve for x
    x = 1,102,409,879.04/49,812.16
  6. Step 6: Final answer
    x = 22,131.34

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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.