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Finding the Fourth Proportional to 45,793.80, 68,678.01 and 16,207.74

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Solution

The fourth proportional to 45,793.80, 68,678.01 and 16,207.74 is: 24,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,793.80 : 68,678.01 = 16,207.74 : x
  2. Step 2: Convert to fraction form
    45,793.80/68,678.01 = 16,207.74/x
  3. Step 3: Cross multiply
    45,793.80x = 68,678.01 × 16,207.74
  4. Step 4: Simplify right side
    45,793.80x = 1,113,115,329.80
  5. Step 5: Solve for x
    x = 1,113,115,329.80/45,793.80
  6. Step 6: Final answer
    x = 24,307.12

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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.