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Finding the Fourth Proportional to 49,403.68, 74,113.20 and 16,564

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Solution

The fourth proportional to 49,403.68, 74,113.20 and 16,564 is: 24,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,403.68 : 74,113.20 = 16,564 : x
  2. Step 2: Convert to fraction form
    49,403.68/74,113.20 = 16,564/x
  3. Step 3: Cross multiply
    49,403.68x = 74,113.20 × 16,564
  4. Step 4: Simplify right side
    49,403.68x = 1,227,611,044.80
  5. Step 5: Solve for x
    x = 1,227,611,044.80/49,403.68
  6. Step 6: Final answer
    x = 24,848.57

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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.