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Finding the Fourth Proportional to 39,260, 54,178.80 and 21,596

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Solution

The fourth proportional to 39,260, 54,178.80 and 21,596 is: 29,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,260 : 54,178.80 = 21,596 : x
  2. Step 2: Convert to fraction form
    39,260/54,178.80 = 21,596/x
  3. Step 3: Cross multiply
    39,260x = 54,178.80 × 21,596
  4. Step 4: Simplify right side
    39,260x = 1,170,045,364.80
  5. Step 5: Solve for x
    x = 1,170,045,364.80/39,260
  6. Step 6: Final answer
    x = 29,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.