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Finding the Fourth Proportional to 24,980.49, 37,288.50 and 21,827.63

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Solution

The fourth proportional to 24,980.49, 37,288.50 and 21,827.63 is: 32,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980.49 : 37,288.50 = 21,827.63 : x
  2. Step 2: Convert to fraction form
    24,980.49/37,288.50 = 21,827.63/x
  3. Step 3: Cross multiply
    24,980.49x = 37,288.50 × 21,827.63
  4. Step 4: Simplify right side
    24,980.49x = 813,919,394.81
  5. Step 5: Solve for x
    x = 813,919,394.81/24,980.49
  6. Step 6: Final answer
    x = 32,582.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.