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Finding the Fourth Proportional to 51,978.72, 77,592.05 and 45,673.04

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Solution

The fourth proportional to 51,978.72, 77,592.05 and 45,673.04 is: 68,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.72 : 77,592.05 = 45,673.04 : x
  2. Step 2: Convert to fraction form
    51,978.72/77,592.05 = 45,673.04/x
  3. Step 3: Cross multiply
    51,978.72x = 77,592.05 × 45,673.04
  4. Step 4: Simplify right side
    51,978.72x = 3,543,864,940.22
  5. Step 5: Solve for x
    x = 3,543,864,940.22/51,978.72
  6. Step 6: Final answer
    x = 68,179.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.