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Finding the Fourth Proportional to 55,889.40, 83,834.10 and 14,336.40

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Solution

The fourth proportional to 55,889.40, 83,834.10 and 14,336.40 is: 21,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,889.40 : 83,834.10 = 14,336.40 : x
  2. Step 2: Convert to fraction form
    55,889.40/83,834.10 = 14,336.40/x
  3. Step 3: Cross multiply
    55,889.40x = 83,834.10 × 14,336.40
  4. Step 4: Simplify right side
    55,889.40x = 1,201,879,191.24
  5. Step 5: Solve for x
    x = 1,201,879,191.24/55,889.40
  6. Step 6: Final answer
    x = 21,504.60

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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.