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Finding the Fourth Proportional to 41,289.60, 61,943.04 and 13,584

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Solution

The fourth proportional to 41,289.60, 61,943.04 and 13,584 is: 20,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,289.60 : 61,943.04 = 13,584 : x
  2. Step 2: Convert to fraction form
    41,289.60/61,943.04 = 13,584/x
  3. Step 3: Cross multiply
    41,289.60x = 61,943.04 × 13,584
  4. Step 4: Simplify right side
    41,289.60x = 841,434,255.36
  5. Step 5: Solve for x
    x = 841,434,255.36/41,289.60
  6. Step 6: Final answer
    x = 20,378.84

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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.