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Finding the Fourth Proportional to 55,490, 83,243.28 and 20,426.96

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Solution

The fourth proportional to 55,490, 83,243.28 and 20,426.96 is: 30,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490 : 83,243.28 = 20,426.96 : x
  2. Step 2: Convert to fraction form
    55,490/83,243.28 = 20,426.96/x
  3. Step 3: Cross multiply
    55,490x = 83,243.28 × 20,426.96
  4. Step 4: Simplify right side
    55,490x = 1,700,407,150.83
  5. Step 5: Solve for x
    x = 1,700,407,150.83/55,490
  6. Step 6: Final answer
    x = 30,643.49

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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.