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Finding the Fourth Proportional to 56,378.50, 77,802.33 and 34,022.50

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Solution

The fourth proportional to 56,378.50, 77,802.33 and 34,022.50 is: 46,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378.50 : 77,802.33 = 34,022.50 : x
  2. Step 2: Convert to fraction form
    56,378.50/77,802.33 = 34,022.50/x
  3. Step 3: Cross multiply
    56,378.50x = 77,802.33 × 34,022.50
  4. Step 4: Simplify right side
    56,378.50x = 2,647,029,772.43
  5. Step 5: Solve for x
    x = 2,647,029,772.43/56,378.50
  6. Step 6: Final answer
    x = 46,951.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.