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Finding the Fourth Proportional to 55,871.96, 83,809.44 and 16,430.32

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Solution

The fourth proportional to 55,871.96, 83,809.44 and 16,430.32 is: 24,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,871.96 : 83,809.44 = 16,430.32 : x
  2. Step 2: Convert to fraction form
    55,871.96/83,809.44 = 16,430.32/x
  3. Step 3: Cross multiply
    55,871.96x = 83,809.44 × 16,430.32
  4. Step 4: Simplify right side
    55,871.96x = 1,377,015,918.22
  5. Step 5: Solve for x
    x = 1,377,015,918.22/55,871.96
  6. Step 6: Final answer
    x = 24,645.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.