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Finding the Fourth Proportional to 49,267, 67,988.64 and 26,911

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Solution

The fourth proportional to 49,267, 67,988.64 and 26,911 is: 37,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,267 : 67,988.64 = 26,911 : x
  2. Step 2: Convert to fraction form
    49,267/67,988.64 = 26,911/x
  3. Step 3: Cross multiply
    49,267x = 67,988.64 × 26,911
  4. Step 4: Simplify right side
    49,267x = 1,829,642,291.04
  5. Step 5: Solve for x
    x = 1,829,642,291.04/49,267
  6. Step 6: Final answer
    x = 37,137.28

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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.