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Finding the Fourth Proportional to 56,500.48, 77,973.11 and 33,843.16

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Solution

The fourth proportional to 56,500.48, 77,973.11 and 33,843.16 is: 46,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500.48 : 77,973.11 = 33,843.16 : x
  2. Step 2: Convert to fraction form
    56,500.48/77,973.11 = 33,843.16/x
  3. Step 3: Cross multiply
    56,500.48x = 77,973.11 × 33,843.16
  4. Step 4: Simplify right side
    56,500.48x = 2,638,856,437.43
  5. Step 5: Solve for x
    x = 2,638,856,437.43/56,500.48
  6. Step 6: Final answer
    x = 46,705.03

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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.