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Finding the Fourth Proportional to 51,616.99, 77,373.21 and 34,978.71

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Solution

The fourth proportional to 51,616.99, 77,373.21 and 34,978.71 is: 52,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,616.99 : 77,373.21 = 34,978.71 : x
  2. Step 2: Convert to fraction form
    51,616.99/77,373.21 = 34,978.71/x
  3. Step 3: Cross multiply
    51,616.99x = 77,373.21 × 34,978.71
  4. Step 4: Simplify right side
    51,616.99x = 2,706,415,074.36
  5. Step 5: Solve for x
    x = 2,706,415,074.36/51,616.99
  6. Step 6: Final answer
    x = 52,432.64

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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.