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Finding the Fourth Proportional to 55,804.28, 83,706.42 and 24,633.32

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Solution

The fourth proportional to 55,804.28, 83,706.42 and 24,633.32 is: 36,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,804.28 : 83,706.42 = 24,633.32 : x
  2. Step 2: Convert to fraction form
    55,804.28/83,706.42 = 24,633.32/x
  3. Step 3: Cross multiply
    55,804.28x = 83,706.42 × 24,633.32
  4. Step 4: Simplify right side
    55,804.28x = 2,061,967,029.91
  5. Step 5: Solve for x
    x = 2,061,967,029.91/55,804.28
  6. Step 6: Final answer
    x = 36,949.98

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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.