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Finding the Fourth Proportional to 30,447.80, 45,670.66 and 10,725.84

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Solution

The fourth proportional to 30,447.80, 45,670.66 and 10,725.84 is: 16,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.80 : 45,670.66 = 10,725.84 : x
  2. Step 2: Convert to fraction form
    30,447.80/45,670.66 = 10,725.84/x
  3. Step 3: Cross multiply
    30,447.80x = 45,670.66 × 10,725.84
  4. Step 4: Simplify right side
    30,447.80x = 489,855,963.50
  5. Step 5: Solve for x
    x = 489,855,963.50/30,447.80
  6. Step 6: Final answer
    x = 16,088.39

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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.