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Finding the Fourth Proportional to 51,564.66, 77,274.01 and 21,952.68

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Solution

The fourth proportional to 51,564.66, 77,274.01 and 21,952.68 is: 32,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,564.66 : 77,274.01 = 21,952.68 : x
  2. Step 2: Convert to fraction form
    51,564.66/77,274.01 = 21,952.68/x
  3. Step 3: Cross multiply
    51,564.66x = 77,274.01 × 21,952.68
  4. Step 4: Simplify right side
    51,564.66x = 1,696,371,613.85
  5. Step 5: Solve for x
    x = 1,696,371,613.85/51,564.66
  6. Step 6: Final answer
    x = 32,897.95

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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.