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Finding the Fourth Proportional to 55,794.92, 83,695.26 and 14,242.28

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Solution

The fourth proportional to 55,794.92, 83,695.26 and 14,242.28 is: 21,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,794.92 : 83,695.26 = 14,242.28 : x
  2. Step 2: Convert to fraction form
    55,794.92/83,695.26 = 14,242.28/x
  3. Step 3: Cross multiply
    55,794.92x = 83,695.26 × 14,242.28
  4. Step 4: Simplify right side
    55,794.92x = 1,192,011,327.59
  5. Step 5: Solve for x
    x = 1,192,011,327.59/55,794.92
  6. Step 6: Final answer
    x = 21,364.16

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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.