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Finding the Fourth Proportional to 56,313.70, 77,705.22 and 33,647.90

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Solution

The fourth proportional to 56,313.70, 77,705.22 and 33,647.90 is: 46,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313.70 : 77,705.22 = 33,647.90 : x
  2. Step 2: Convert to fraction form
    56,313.70/77,705.22 = 33,647.90/x
  3. Step 3: Cross multiply
    56,313.70x = 77,705.22 × 33,647.90
  4. Step 4: Simplify right side
    56,313.70x = 2,614,617,083.51
  5. Step 5: Solve for x
    x = 2,614,617,083.51/56,313.70
  6. Step 6: Final answer
    x = 46,429.50

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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.