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Finding the Fourth Proportional to 51,446.76, 77,174.75 and 14,007.03

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Solution

The fourth proportional to 51,446.76, 77,174.75 and 14,007.03 is: 21,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446.76 : 77,174.75 = 14,007.03 : x
  2. Step 2: Convert to fraction form
    51,446.76/77,174.75 = 14,007.03/x
  3. Step 3: Cross multiply
    51,446.76x = 77,174.75 × 14,007.03
  4. Step 4: Simplify right side
    51,446.76x = 1,080,989,038.49
  5. Step 5: Solve for x
    x = 1,080,989,038.49/51,446.76
  6. Step 6: Final answer
    x = 21,011.80

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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.