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Finding the Fourth Proportional to 56,921.49, 78,550.81 and 31,428.16

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Solution

The fourth proportional to 56,921.49, 78,550.81 and 31,428.16 is: 43,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,921.49 : 78,550.81 = 31,428.16 : x
  2. Step 2: Convert to fraction form
    56,921.49/78,550.81 = 31,428.16/x
  3. Step 3: Cross multiply
    56,921.49x = 78,550.81 × 31,428.16
  4. Step 4: Simplify right side
    56,921.49x = 2,468,707,424.81
  5. Step 5: Solve for x
    x = 2,468,707,424.81/56,921.49
  6. Step 6: Final answer
    x = 43,370.39

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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.