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Finding the Fourth Proportional to 51,772.76, 77,736.90 and 29,611.16

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Solution

The fourth proportional to 51,772.76, 77,736.90 and 29,611.16 is: 44,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.76 : 77,736.90 = 29,611.16 : x
  2. Step 2: Convert to fraction form
    51,772.76/77,736.90 = 29,611.16/x
  3. Step 3: Cross multiply
    51,772.76x = 77,736.90 × 29,611.16
  4. Step 4: Simplify right side
    51,772.76x = 2,301,879,783.80
  5. Step 5: Solve for x
    x = 2,301,879,783.80/51,772.76
  6. Step 6: Final answer
    x = 44,461.21

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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.