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Finding the Fourth Proportional to 55,776.96, 83,664 and 13,656.96

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Solution

The fourth proportional to 55,776.96, 83,664 and 13,656.96 is: 20,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776.96 : 83,664 = 13,656.96 : x
  2. Step 2: Convert to fraction form
    55,776.96/83,664 = 13,656.96/x
  3. Step 3: Cross multiply
    55,776.96x = 83,664 × 13,656.96
  4. Step 4: Simplify right side
    55,776.96x = 1,142,595,901.44
  5. Step 5: Solve for x
    x = 1,142,595,901.44/55,776.96
  6. Step 6: Final answer
    x = 20,485.09

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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.