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Finding the Fourth Proportional to 51,384.50, 77,076.76 and 14,448.50

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Solution

The fourth proportional to 51,384.50, 77,076.76 and 14,448.50 is: 21,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384.50 : 77,076.76 = 14,448.50 : x
  2. Step 2: Convert to fraction form
    51,384.50/77,076.76 = 14,448.50/x
  3. Step 3: Cross multiply
    51,384.50x = 77,076.76 × 14,448.50
  4. Step 4: Simplify right side
    51,384.50x = 1,113,643,566.86
  5. Step 5: Solve for x
    x = 1,113,643,566.86/51,384.50
  6. Step 6: Final answer
    x = 21,672.75

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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.