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Finding the Fourth Proportional to 53,552.64, 73,905.36 and 30,883.20

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Solution

The fourth proportional to 53,552.64, 73,905.36 and 30,883.20 is: 42,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,552.64 : 73,905.36 = 30,883.20 : x
  2. Step 2: Convert to fraction form
    53,552.64/73,905.36 = 30,883.20/x
  3. Step 3: Cross multiply
    53,552.64x = 73,905.36 × 30,883.20
  4. Step 4: Simplify right side
    53,552.64x = 2,282,434,013.95
  5. Step 5: Solve for x
    x = 2,282,434,013.95/53,552.64
  6. Step 6: Final answer
    x = 42,620.38

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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.