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Finding the Fourth Proportional to 106,753.95, 160,180.74 and 47,583.45

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Solution

The fourth proportional to 106,753.95, 160,180.74 and 47,583.45 is: 71,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753.95 : 160,180.74 = 47,583.45 : x
  2. Step 2: Convert to fraction form
    106,753.95/160,180.74 = 47,583.45/x
  3. Step 3: Cross multiply
    106,753.95x = 160,180.74 × 47,583.45
  4. Step 4: Simplify right side
    106,753.95x = 7,621,952,232.75
  5. Step 5: Solve for x
    x = 7,621,952,232.75/106,753.95
  6. Step 6: Final answer
    x = 71,397.38

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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.