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Finding the Fourth Proportional to 56,340.31, 77,749.48 and 33,678.20

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Solution

The fourth proportional to 56,340.31, 77,749.48 and 33,678.20 is: 46,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,340.31 : 77,749.48 = 33,678.20 : x
  2. Step 2: Convert to fraction form
    56,340.31/77,749.48 = 33,678.20/x
  3. Step 3: Cross multiply
    56,340.31x = 77,749.48 × 33,678.20
  4. Step 4: Simplify right side
    56,340.31x = 2,618,462,537.34
  5. Step 5: Solve for x
    x = 2,618,462,537.34/56,340.31
  6. Step 6: Final answer
    x = 46,475.83

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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.