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Finding the Fourth Proportional to 56,032.56, 77,326.56 and 30,883.68

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Solution

The fourth proportional to 56,032.56, 77,326.56 and 30,883.68 is: 42,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,032.56 : 77,326.56 = 30,883.68 : x
  2. Step 2: Convert to fraction form
    56,032.56/77,326.56 = 30,883.68/x
  3. Step 3: Cross multiply
    56,032.56x = 77,326.56 × 30,883.68
  4. Step 4: Simplify right side
    56,032.56x = 2,388,128,734.54
  5. Step 5: Solve for x
    x = 2,388,128,734.54/56,032.56
  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.