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Finding the Fourth Proportional to 37,516, 51,776.94 and 21,597.88

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Solution

The fourth proportional to 37,516, 51,776.94 and 21,597.88 is: 29,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,516 : 51,776.94 = 21,597.88 : x
  2. Step 2: Convert to fraction form
    37,516/51,776.94 = 21,597.88/x
  3. Step 3: Cross multiply
    37,516x = 51,776.94 × 21,597.88
  4. Step 4: Simplify right side
    37,516x = 1,118,272,136.89
  5. Step 5: Solve for x
    x = 1,118,272,136.89/37,516
  6. Step 6: Final answer
    x = 29,807.87

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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.